Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

Mother was three times the age of her daughter five years ago. After five years, Mother will be twice as old as her daughter. How old is the daughter today?

  1. 5 years

  2. 10 years

  3. 15 years

  4. 20 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let daughter's current age = d, mother's current age = m. Five years ago: m-5 = 3(d-5), so m-5 = 3d-15, giving m = 3d-10. After five years (from present): m+5 = 2(d+5), so m+5 = 2d+10, giving m = 2d+5. Equating: 3d-10 = 2d+5, so d = 15. Substituting back: m = 2(15)+5 = 35. Verifying: 5 years ago daughter was 10, mother was 30 (3× relationship correct). In 5 years daughter will be 20, mother will be 40 (2× relationship correct). Daughter is 15 years old today.

Multiple choice

A man is 37 years old, his two sons are 8 years and 3 years old respectively. After how many years will he be twice as old as the sons' total age?

  1. 4 years

  2. 3 years

  3. 5 years

  4. 6 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the number of years after which the father will be twice as old as the combined age of his sons. Father's age after x years = 37+x, sons' combined age = (8+x)+(3+x) = 11+2x. Setting 37+x = 2(11+2x), we get 37+x = 22+4x, solving gives 3x = 15, so x = 5 years.

Multiple choice

Suresh's age is 4 years less than twice the age of his brother. Which of the following represents the equation to find his age?
  1. $2x + 4$
  2. $4x + 2$
  3. $x - 4$
  4. $2x - 4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be brother's age. 'Twice the age of his brother' is 2x. '4 years less than' this is 2x - 4. This represents Suresh's age. Option A (2x + 4) would be 4 years MORE than twice. Option B (4x + 2) incorrectly uses coefficient 4. Option C (x - 4) would mean Suresh is 4 years younger than his brother, not '4 years less than twice'.

Multiple choice

The present ages of Ritu and Nishi are 26 and 30 year respectively.After how many year would the ratio of their ages become 10 : 11?

  1. 14

  2. 12

  3. 16

  4. 18
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

After x years, Ritu's age = 26+x, Nishi's age = 30+x. We need (26+x)/(30+x) = 10/11. Cross-multiplying: 11(26+x) = 10(30+x), so 286 + 11x = 300 + 10x, giving x = 14. After 14 years, Ritu will be 40 and Nishi will be 44, and 40:44 = 10:11. Option A (14) is correct.

Multiple choice

The sum of the present ages of a father and his son is 99 years. When the father was as old as his son is now, his age was four times the age of the son at that time. The ratio of the present ages of the son and the father is -

  1. 3 : 7

  2. 3 : 8

  3. 4 : 9

  4. 4 : 7
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be: father = F, son = S. Given: F + S = 99. Age difference = F - S (constant). When father was S years old (F - S years ago), son was S - (F - S) = 2S - F years old. At that time, father's age (S) was 4 times son's age: S = 4(2S - F). Solving: S = 8S - 4F → 4F = 7S → F:S = 7:4. Converting to son:father ratio gives 4:7.

Multiple choice

What is the ratio of the ages of Karan, Arjun, and Aman? Statement (I): The average age of all is 22 years, and the age of Arjun is 24 years. Statement (II): The ratio of the ages of Karan and Aman is 4:5, and the age of Arjun is 20% more than the age of Aman.

  1. Only II

  2. Only I

  3. Both from I and II

  4. Any one of the two

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement II alone is sufficient: Arjun is 20% more than Aman, so if Aman = 100x, Arjun = 120x. Given Arjun = 24, then x = 0.2, so Aman = 20. With Karan:Aman = 4:5, Karan = 16. Ratio Karan:Arjun:Aman = 16:24:20 = 4:6:5. Statement I gives average 22 (total 66) with Arjun 24, meaning Karan + Aman = 42, which is insufficient alone.

Multiple choice

What is the difference between present ages of A and S ? (I) : The ratio of the present age of A to that of S six years ago is 2 : 1. (II) : The ratio of the present age of A and S is 4 : 3.

  1. Only I

  2. Only II

  3. Either I or II

  4. Neither I nor II

  5. Both I and II
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let A=4x, S=3x from statement II, so difference = x. From statement I: 4x/(3x-6) = 2/1, giving 4x = 6x - 12, so 2x = 12, x = 6. Difference = 6. Neither statement alone gives the answer - we need both the ratio and the historical relationship to solve.

Multiple choice

Which information are necessary to answer the questions asked- Find the age of Rajni after 7 years. (I). Ratio of the ages of Raju and Dinesh before four years was 4:3 respectively. After four years, ratio of their ages will be 6:5 respectively. (II). Sum of the present ages of Rajni and Vikash is equal to sum of the present ages of Raju and Dinesh. (III). Rajni is six years older than Dinesh.

  1. Only III

  2. Only II and either I or III

  3. Only I and III

  4. All I, II and III

  5. None is sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From (I): 4 years ago, R=4x, D=3x. Today: R=4x+4, D=3x+4. After 4 years: (4x+8)/(3x+8) = 6/5 gives x=4. So today: Raju=20, Dinesh=16. Statement (III): Rajni is 6 years older than Dinesh, so Rajni = 22. After 7 years: 22+7 = 29. Statement (II) is irrelevant - it connects Vikash but isn't needed.

Multiple choice

The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?

  1. 6 years

  2. 5 years

  3. 9 years

  4. 4 years

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

At marriage, average age of husband and wife was 25 years, so total age was 50 years. Son was born 2 years after marriage. Present average age of all three is 24 years, so total present age is 72 years. Let t be years since marriage. Present ages: husband's age + wife's age + son's age = (50 - 2t for parents combined) + (t - 2) for son = 48 - t + t - 2 = 46. Wait, let me recalculate: if t years have passed since marriage, husband and wife are now (h + t) and (w + t), son is (t - 2). Total: h + w + 2t + t - 2 = 50 + 3t - 2 = 48 + 3t = 72. Therefore 3t = 24, so t = 8 years. Since 8 is not among options 6, 5, 9, or 4, option E (None of these) is correct.

Multiple choice

The age of father is 3 times of age of his son. 10 years before, the age of the father was 7 times the age of his son. The age of the father is- एक पिता की आयु उसके पुत्र की आयु की तीन गुना है। 10 वर्ष पूर्व, पिता की आयु पुत्र की आयु की सात गुना थी। पिता की आयु है:

  1. 15 years/वर्ष

  2. 45 years/वर्ष

  3. 48 years/वर्ष

  4. 54 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age = x, father's age = 3x. Ten years ago: son was x-10, father was 3x-10. Given: 3x-10 = 7(x-10). Solving: 3x-10 = 7x-70, so 4x = 60, giving x = 15. Father's present age = 3x = 45 years.

Multiple choice

If present age of a is 5 times of two less than the present age of B and the ratio of age of A and B after 5 year will be 7:2. Then find the age of A at Present. यदि A की वर्तमान आयु B की वर्तमान आयु से 2 कम का 5 गुना है और A और B की आयु का अनुपात 5 वर्ष बाद 7 : 2 होगा। तो A की वर्तमान आयु बताइए।

  1. 45 year/वर्ष

  2. 65 year/वर्ष

  3. 35 year/वर्ष

  4. 77 year/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A = 5(B-2) and (A+5)/(B+5) = 7/2. Substituting: (5B-5)/(B+5) = 7/2. Cross-multiplying: 10B-10 = 7B+35, so 3B = 45, B = 15. Then A = 5(13) = 65 years.

Multiple choice

If twice the son's age added to the father's age the sum is 70. But if father's twice age added to the son's age the sum is 95. Find the ages of father and son?

  1. 25, 5

  2. 36, 8

  3. 15, 40

  4. 15, 45

  5. 40, 15
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let father's age = F, son's age = S. First condition: 2S + F = 70. Second condition: 2F + S = 95. Solving these simultaneously: From first, F = 70 - 2S. Substituting in second: 2(70 - 2S) + S = 95 → 140 - 4S + S = 95 → 140 - 3S = 95 → 3S = 45 → S = 15. Then F = 70 - 2(15) = 70 - 30 = 40. Ages are 40 (father) and 15 (son), matching Option E.

Multiple choice

At present, Naimish is twice the age of Altaf and half the age of Madhuri. After four years, Naimish will be 1.5 times Altaf's age and Madhuri will be 2.5 times of Altaf's age. What is Madhuri's present age?

  1. 12 years

  2. 8 years

  3. 20 years

  4. 16 years

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Altaf's age = x. Then Naimish = 2x, Madhuri = 4x. After 4 years: (2x+4) = 1.5(x+4), giving 2x+4 = 1.5x+6, so 0.5x = 2, x = 4. Madhuri = 4×4 = 16 years. This matches all conditions.

Multiple choice

The ratio of the present ages of Priya and Moni is 3: 4. Priya is 6 years older than Rewati, who is 14 years younger than Moni. Then find the present age of Rewati.

  1. 24 years

  2. 20 years

  3. 22 years

  4. 18 years

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Priya = 3x, Moni = 4x. Priya is 6 years older than Rewati: Rewati = Priya - 6 = 3x - 6. Rewati is 14 years younger than Moni: Rewati = Moni - 14 = 4x - 14. Equate: 3x - 6 = 4x - 14, so x = 8. Rewati = 3(8) - 6 = 18 years. Option D matches.

Multiple choice

Father is aged three times more than his son Arun. After 8 years, father would be two and a half times of Arun’s age. After further 8 years, age of father would be how many times of Arun’s age?
  1. $2.25$
  2. $2$
  3. $3$
  4. $3.5$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Arun's current age = x. Father is "three times more than" son means father = x + 3x = 4x. After 8 years: 4x + 8 = 2.5(x + 8). Solving: 4x + 8 = 2.5x + 20, so 1.5x = 12, giving x = 8. Father's current age = 32. After further 8 years (total 16 years from now): Father = 48, Arun = 24. Father's age = 48/24 = 2 times Arun's age.