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

Rahul’s age after 18 years will be 6 years less than twice his present age. The respective ratio between Suresh’s present age and Gokul’s present age is 4:3. If Gokul’s age 39 years hence will be same as 2.5 times Rahul’s present age. what will be Suresh’s age 8 years hence.

  1. 28

  2. 30

  3. 36

  4. 34

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

Let Rahul's present age = R. After 18 years: R + 18 = 2R - 6, so R = 24. Gokul's present age = G. After 39 years: G + 39 = 2.5 × 24 = 60, so G = 21. Suresh's present age = S. Given S:G = 4:3, so S/21 = 4/3, S = 28. Suresh's age 8 years hence = 28 + 8 = 36. This is option C.

Multiple choice

In a family, Rani who is wife of Prince, is 2 years younger to Prince. Ratio of ages of Rani and Prince's sister Pragya is 4: 3. Find the present age of Prince's father Mr. Surendra Shankar who is 26 years older to Prince, if the age of Pragya after 15 years from now will be 36 years.

  1. 44 years

  2. 50 years

  3. 48 years

  4. 46 years

  5. 56 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Pragya's age after 15 years = 36, so her current age = 21. Rani:Pragya = 4:3, so Rani = 28. Rani is 2 years younger than Prince, so Prince = 30. Father is 26 years older than Prince, so Father = 56. Option E is correct.

Multiple choice

Ananya was married 8 years ago and ratio of her present age to the age of her at the time of marriage is 4:3. After 5 years of marriage she gave birth to a baby. Find the sum of age of Ananya and her baby 3 years hence.

  1. 38

  2. 42

  3. 41

  4. 40

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

Let Ananya's present age be 4x and marriage age be 3x (ratio 4:3). She married 8 years ago, so 4x - 3x = 8, giving x = 8. Present age = 4(8) = 32. Baby born 5 years after marriage, so baby is currently 32 - (8 + 5) = 3 years old. In 3 years: Ananya will be 35 and baby will be 6. Sum = 35 + 6 = 41. Option C is correct.

Multiple choice

The ratio of the present age of Manu and Deepa is (5 : X). Manu is 9 years younger than Pari. Pari’s age after 9 years will be 33 years. The difference between Deepa’s and Manu’s age is the same as the present age of Pari. What should come in place of (X)?\

  1. 26

  2. 13

  3. 39

  4. 24

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

Pari's age after 9 years = 33, so Pari's present age = 33 - 9 = 24. Manu is 9 years younger than Pari, so Manu = 24 - 9 = 15. Difference between Deepa and Manu equals Pari's present age (24), so Deepa - Manu = 24, giving Deepa = 15 + 24 = 39. Ratio Manu:Deepa = 15:39 = 5:13 after dividing by 3. Therefore X = 13.

Multiple choice

The ratio of Preeti’s age to Komal’s age is 7 : 12. If after 7 years they meet, then Komal said her age is 15 years more than double of Preeti’s age 15 years ago from then. Find the ratio of Preeti’s age 10 years later to Komal’s age 10 years ago.

  1. 1 : 1

  2. 2 : 3

  3. 1 : 2

  4. 3 : 1

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

Let Preeti's age = 7x and Komal's age = 12x. After 7 years: Preeti = 7x+7, Komal = 12x+7. Komal's statement: 'her age is 15 years more than double of Preeti's age 15 years ago from then' means: 12x+7 = 2(7x+7-15) + 15. Solving: 12x+7 = 2(7x-8) + 15 = 14x-16+15 = 14x-1. So 12x+7 = 14x-1, giving 2x = 8, x = 4. Preeti = 28, Komal = 48. Preeti 10 years later = 38, Komal 10 years ago = 38. Ratio = 38:38 = 1:1. Option B (2:3), C (1:2), D (3:1) are wrong.

Multiple choice

At present, five times of the age of Rahul is equal to three times of the age of Rocky. The age of Rocky’s wife is 5 years less than that of Rocky. 5 years ago, the ratio of the age of Rahul and Rocky’s wife was 2 : 3. At present, what is the average age of Rahul, Rocky and his wife?

  1. 15

  2. 18

  3. 20

  4. 22

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

From 5R = 3K, we get Rahul's age R = 3K/5. Rocky's wife is K-5. Using the ratio (R-5)/(W-5) = 2/3 where W = K-5, we substitute to get (3K/5 - 5)/(K-10) = 2/3. Solving: 3(3K/5 - 5) = 2(K-10) → 9K/5 - 15 = 2K - 20 → 9K = 10K - 25 → K = 25. Then R = 3(25)/5 = 15 and Wife = 20. Average = (15+25+20)/3 = 20.

Multiple choice

What is the sum of the age of Akhilesh and Sangram? Statement I: The age of Akhilesh is 4 years more than the age of Sangram. Statement II: 28% of the age of Sangram is equal to 21% of the age of Akhilesh. Statement III: The ratio between half of the age of Akhilesh and one third of the age of Sangram is 2: 1.

  1. If either statement III alone or statements I and II together are sufficient.

  2. If only statement III is sufficient.

  3. If statement I and (Statement II or III) together are sufficient.

  4. If all statements I, II, and III together are sufficient.

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

Statement I: A = S + 4. Statement II: 0.28S = 0.21A → 28S = 21A → 4S = 3A. Together with I: 4S = 3(S+4) → S = 12, A = 16. Sum = 28. Statement III: (A/2)/(S/3) = 2/1 → 3A/2S = 2 → 3A = 4S, which is same as Statement II. So I+II or I+III both work. Option C says 'I and (II or III)' which matches.

Multiple choice

Komal's age after 17 years will be 6 years less than twice her present age. The respective ratio between Preeti's present age and Anushika's present age is 21: 19. If Anushika's age 31 years hence will be same as three times Komal's present age, what will be Preeti's age 4 years hence?

  1. 44 years

  2. 45 years

  3. 46 years

  4. 48 years

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

Let Komal's present age be k. After 17 years: k + 17 = 2k - 6, giving k = 23. Preeti:Anushika = 21:19, so let their ages be 21x and 19x. Anushika's age 31 years hence (19x + 31) equals 3 × Komal's present age (3 × 23 = 69). Solving 19x + 31 = 69 gives x = 2. Preeti's present age = 21 × 2 = 42. Therefore, Preeti's age 4 years hence = 42 + 4 = 46 years.

Multiple choice

Three years from now, Panna's age will be four years less than three times Eugene's age. The sum of their present ages is 54 years. What is the present age of Panna?

  1. 43 years

  2. 39 years

  3. 41 years

  4. 40 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Panna's present age be P and Eugene's present age be E. We have P + E = 54 and (P + 3) = 3(E + 3) - 4 = 3E + 5. Substituting P = 3E + 2 into the sum equation gives 4E = 52, so E = 13 and P = 41. Verify: In 3 years, Panna will be 44 and Eugene 16; 3 × 16 - 4 = 44 ✓.

Multiple choice

Ratio of age of P and Q is 7 : 5, after 8 years the ratio of age of A becomes 2 times the age of P, 1 years before. What is the present age of Q, if the age of A, 4 years ago was 56 years?

  1. 24 years

  2. 23 years

  3. 22 years

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

Let P = 7x and Q = 5x based on the 7:5 ratio. A's age 4 years ago was 56, so A's current age is 60. After 8 years, A will be 68. According to the condition, A's age after 8 years (68) equals 2 times P's age 1 year ago (7x - 1). So 68 = 2(7x - 1), giving 7x = 35, so x = 5. Therefore Q's present age = 5x = 25 years.

Multiple choice

The present age of a father is equal to the sum of his son’s and wife’s present ages. The respective ratio between the present ages of his wife and son is 8:1 and the difference between his wife’s and son’s present ages is 28 years, what will be father’s age after 4 years? (In years)

  1. 36

  2. 38

  3. 40

  4. 44

  5. 48
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let wife's age = 8k, son's age = k. Difference: 8k - k = 28, so 7k = 28, k = 4. Son = 4 years, Wife = 32 years. Father's present age = 4 + 32 = 36 years. After 4 years: 36 + 4 = 40 years. Option C is correct.

Multiple choice

Present age of Bob is equal to Abby’s age 8 years ago. Four year hence, the respective ratio between Bob’s age and Abby’s age will be 4: 5 at that time. What is Bob’s present age?

  1. 24 years

  2. 32 years

  3. 40 years

  4. 20 years

  5. 28 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Bob's present age be B and Abby's present age be A. From 'Bob's present age equals Abby's age 8 years ago': B = A - 8. In 4 years, the ratio is 4:5, so (B+4)/(A+4) = 4/5. Substituting B = A - 8 gives (A-4)/(A+4) = 4/5. Cross-multiplying: 5(A-4) = 4(A+4), which simplifies to 5A - 20 = 4A + 16, giving A = 36. Therefore B = 36 - 8 = 28 years.

Multiple choice

A says, “If you reverse my own age, the figures represent my father‘s age. He is, of course, senior to me and the difference between our ages is three-eleventh of our sum.” Then A‘s father’s age is-

  1. 54

  2. 45

  3. 63

  4. 36

  5. Can’t be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's age be 10a + b. Father's age is 10b + a (digits reversed). Difference = 9(b - a). Sum = 11(a + b). Given difference = 3/11 of sum, so 9(b - a) = 3(a + b). This gives b = 2a. Testing options: for 36 (a=3, b=6), father would be 63. 63 - 36 = 27, and 3/11 of (63+36) = 3/11 × 99 = 27. ✓

Multiple choice

If 10 years are subtracted from the present age of Kumkum and the remainder is divided by 6, then the present age of her grandson Anshika is obtained. If Anshika is 2 years younger to Avinash whose age is 7 years, then what is Kumkum’s present age?

  1. 35

  2. 40

  3. 32

  4. 28

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

Anshika is 2 years younger than Avinash who is 7 years old, so Anshika is 5 years old. Kumkum's age satisfies: (Kumkum's age - 10) ÷ 6 = Anshika's age = 5. Therefore Kumkum's age - 10 = 30, so Kumkum's age = 40 years.