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

The sum of ages of a father and a son is 45 years. 5 years ago, the product of their ages was four times the father’s age at that time. What is father’s present age ? एक पिता और एक पुत्र की आयु का योग 45 वर्ष है। 5 वर्ष पूर्व उनकी आयु का गुणनफल उस समय पिता की आयु की 4 गुना थी। पिता की वर्तमान आयु क्या है ?

  1. 35 years 35 वर्ष

  2. 36 years 36 वर्ष

  3. 39 years 39 वर्ष

  4. 38 years 38 वर्ष

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's present age = f, son's present age = s. Given: f+s=45. Five years ago: (f-5)(s-5)=4(f-5). If f≠5, divide: s-5=4, so s=9 and f=36. Checking: 5 years ago, father was 31, son was 4. Product=124, which is 4×31=124. ✓

Multiple choice

Ratio of age of father, mother and son is 9:8:3. Five years hence sum of their age will be 95 years. Find the age of son 5 years ago. पिता, मां और पुत्र की आयु का अनुपात 9: 8: 3 है पांच वर्ष पश्चात उनकी आयु का योग 95 वर्ष होगा । 5 वर्ष पहले पुत्र की आयु ज्ञात कीजिये ।

  1. 12 years 12 वर्ष

  2. 7 years 7 वर्ष

  3. 10 years 10 वर्ष

  4. 15 years 15 वर्ष

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Current ages are in ratio 9:8:3, so let ages be 9x, 8x, 3x. In 5 years, sum increases by 15 to become 95, so current sum is 80. Thus 20x = 80, x = 4. Son's current age is 12, so 5 years ago he was 7.

Multiple choice

The respective ratio between present age of P and Q is 3: 11. Q is 12 years younger to R. R’s age after 7 years will be 85 years. What is the present age of P’s father who is 25 years older than P?

  1. 43 years

  2. 67 years

  3. 45 years

  4. 69 years

  5. 65 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

R's age after 7 years = 85, so R's present age = 85 - 7 = 78. Q is 12 years younger than R, so Q = 78 - 12 = 66. P:Q ratio is 3:11, so P = (3/11) × 66 = 18. P's father is 25 years older than P, so father's age = 18 + 25 = 43 years.

Multiple choice

Mr. Mukherjee is 5 years elder to his wife and they have one son and one daughter. If the daughter is 23 years younger to Mr. Mukherjee and the son, is 16 years younger to his mother, what is the difference in the ages of the brother and the sister?

  1. 2 years

  2. 12 years

  3. 4 years

  4. 7 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the wife's age be w. Then Mr. Mukherjee is w + 5. The daughter is (w + 5) - 23 = w - 18. The son is w - 16. The age difference between brother and sister is (w - 16) - (w - 18) = 2 years. This matches option A.

Multiple choice

The present age of a father is 6 years more than six times the age of his son. Six years hence, father's age will be 8 years more than thrice the age of the son. Find the present age of the father (in years). एक पिता की वर्तमान आयु उसके बेटे की आयु के छः गुना से 6 वर्ष अधिक है । छह वर्ष पश्चात पिता की आयु पुत्र की आयु के तिगुने से 8 वर्ष अधिक होगी । पिता की वर्तमान आयु (वर्ष में) ज्ञात कीजिए।

  1. 28

  2. 30

  3. 34

  4. 32

  5. 36
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's present age be x. Father's present age = 6x + 6. After 6 years: (6x + 6) + 6 = 3(x + 6) + 8. Solving: 6x + 12 = 3x + 18 + 8 = 3x + 26. Therefore: 3x = 14, x = 14/3 ≈ 4.67. Father's age = 6(14/3) + 6 = 28 + 6 = 34 years.

Multiple choice

Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother ( in years) is :

  1. 44

  2. 52

  3. 60

  4. 68
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total age of 6 sons = 6 × 8 = 48 years. Total age of 8 people (sons + parents) = 8 × 22 = 176 years. Parents' combined age = 176 - 48 = 128 years. Let mother's age be M. Then father's age = M + 8. So M + (M + 8) = 128, giving 2M = 120, so M = 60 years.

Multiple choice

The average of the ages of A, B and C 3 years hence from now would be 35 years. A's present age is (\frac{7}{17}) of the sum of the present ages of B and C. If the ratio of present ages of B and C is 9: 8, respectively, then what is the difference between the present ages of A and C?

  1. 5

  2. 8

  3. 4

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

3 years hence average age = 35, so total age then = 105. Present total age = 105 - 9 = 96. Let present ages be A, B, C. A = (7/17)(B + C) = (7/17)(96 - A). Solving: 17A = 672 - 7A gives 24A = 672, A = 28. B:C = 9:8, B + C = 68. So B = 36, C = 32. Difference A - C = 28 - 32 = -4, |A - C| = 4.

Multiple choice

Pradeep is 4 years older than his wife Pratibha and the present age of their son is 9 years. If the present age of Pradeep's son is (\frac{1}{4}) times of Pradeep's age and if the couple's son was born after 2 years of their marriage, then find the age of Pradeep's wife at the time of her marriage.

  1. 21

  2. 22

  3. 23

  4. 25
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given: Pradeep is 4 years older than Pratibha, their son is 9 years old, and son's age = 1/4 of Pradeep's age. Let Pradeep's age = 4x, then son's age = x = 9, so Pradeep = 36 years. Pratibha = 36 - 4 = 32 years. Son was born 2 years after marriage, so at childbirth Pratibha was 32 - 9 = 23 years old. Therefore at marriage, Pratibha was 23 - 2 = 21 years.

Multiple choice

Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. What is the present age of Anamika?

  1. 30 years

  2. 31 years

  3. 29 years

  4. 28 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A = Anamika's present age, M = Malini's present age. From '7 years from now, Anamika = Malini 4 years ago': A+7 = M-4, so M = A+11. Srinidhi is 2 years old (born 2 years ago). Average age 10 years from now = 33, so sum = 99: (A+10) + (M+10) + (2+10) = 99. Substituting M: A+10 + A+21 + 12 = 99, so 2A+43 = 99, 2A = 56, A = 28.

Multiple choice

The present age of a father is three times that of his elder son. Four years hence, the age of the father will be four times that of his younger son. If the difference between the present ages of the elder and younger child is 6 years, what is the present age of the father?

  1. 36 years

  2. 38 years

  3. 42 years

  4. 32 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let father's age = F, elder son = E, younger son = Y. F = 3E. After 4 years: F+4 = 4(Y+4). Also E - Y = 6. Solving: F = 3E, so 3E+4 = 4Y+16, and E = Y+6. Substituting: 3(Y+6)+4 = 4Y+16, so 3Y+22 = 4Y+16, giving Y = 6. Then E = 12, F = 36. The key is setting up simultaneous equations and solving systematically.