Ages

Age problems describe the same people at two different times. Everyone ages by the same number of years, so the difference between two ages never changes.

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

1. Q1Medium

   A father is 3 times as old as his son. In 4 years he will be 2 times as old. Son's age now?

   1. A3
   2. B0
   3. C4
   4. D1
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   Answer: C. 4

   💡 3 × son + 4 = 2 × (son + 4), so son = 4 years (father 12).

2. Q2Medium

   A father is 3 times as old as his son. In 8 years he will be 2 times as old. Son's age now?

   1. A9
   2. B16
   3. C8
   4. D11
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   Answer: C. 8

   💡 3 × son + 8 = 2 × (son + 8), so son = 8 years (father 24).

3. Q3Medium

   A father is 5 times as old as his son. In 7 years he will be 3 times as old. Son's age now?

   1. A7
   2. B35
   3. C11
   4. D14
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   Answer: A. 7

   💡 5 × son + 7 = 3 × (son + 7), so son = 7 years (father 35).

4. Q4Medium

   A father is 3 times as old as his son. In 12 years he will be 2 times as old. Son's age now?

   1. A12
   2. B24
   3. C11
   4. D9
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   Answer: A. 12

   💡 3 × son + 12 = 2 × (son + 12), so son = 12 years (father 36).

5. Q5Hard

   The ages of Aditya and Pooja are in the ratio 4:7. In 10 years it will be 17:26. Pooja's age now?

   1. A39
   2. B52
   3. C42
   4. D24
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   Answer: C. 42

   💡 Let the ages be 4k and 7k: (4k + 10):(7k + 10) = 17:26 gives k = 6, so Pooja is 7 × 6 = 42.

6. Q6Hard

   The ages of Imran and Isha are in the ratio 3:8. In 11 years it will be 7:15. Isha's age now?

   1. A24
   2. B75
   3. C72
   4. D64
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   Answer: D. 64

   💡 Let the ages be 3k and 8k: (3k + 11):(8k + 11) = 7:15 gives k = 8, so Isha is 8 × 8 = 64.

7. Q7Hard

   The ages of Kabir and Tanvi are in the ratio 8:9. In 4 years it will be 10:11. Tanvi's age now?

   1. A22
   2. B15
   3. C18
   4. D16
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   Answer: C. 18

   💡 Let the ages be 8k and 9k: (8k + 4):(9k + 4) = 10:11 gives k = 2, so Tanvi is 9 × 2 = 18.

8. Q8Hard

   The ages of Siddharth and Neha are in the ratio 5:9. In 5 years it will be 5:8. Neha's age now?

   1. A30
   2. B27
   3. C32
   4. D36
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   Answer: B. 27

   💡 Let the ages be 5k and 9k: (5k + 5):(9k + 5) = 5:8 gives k = 3, so Neha is 9 × 3 = 27.