Problems on Ages Questions Answers

• 1. Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju

  1. 15
  2. 14
  3. 10
  4. 8

  Answer And Explanation

  Answer: Option C

  Explanation:

  Clearly,
  x+15 = 5(x-5)
  <=> 4x = 40 => x = 10

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• 2. Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

  1. 23.5
  2. 24.5
  3. 12.5
  4. 14.5

  Answer And Explanation

  Answer: Option B

  Explanation:

  If Rahul age is x, then Sachin age is x-7,
  so (x-7)/x = 7/9
  => 9x-63 = 7x
  => 2x = 63
  => x = 31.5
  
  So Sachin age is 31.5 - 7 = 24.5
  

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• 3. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years

  1. 7:8
  2. 7:9
  3. 3:8
  4. 5:8

  Answer And Explanation

  Answer: Option A

  Explanation:

  Let P age and Q age is 6x years and 7x years.
  Then 7x - 6x = 4 <=> x = 4
  
  So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8

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• 4. Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age

  1. 12,28
  2. 14,30
  3. 16,32
  4. 18,34

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let the age of younger person is x,
  Then elder person age is (x+16)
  => 3(x-6) = (x+16-6) [6 years before]
  => 3x-18 = x+10
  => x = 14.
  So other person age is x + 16 = 30
  

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• 5. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son

  1. 34,11
  2. 35,10
  3. 36,9
  4. 40,5

  Answer And Explanation

  Answer: Option C

  Explanation:

  Let sons age = x years. Then fathers age = (45 - x)years.
  (x—5)(45—x—5) = 4(45- x - 5) hence (x—5) = 4 so x = 9
  Their ages are 36 years and 9 years.

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• 6. Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages

  1. 35
  2. 34
  3. 45
  4. 25

  Answer And Explanation

  Answer: Option A

  Explanation:

  Let the present age of P and Q be 3x and 4x respectively.
  Ten years ago, P was half of Q in age
  => 2(3x – 10) = (4x – 10)
  
  => 6x – 20 = 4x – 10
  
  => 2x = 10
  
  => x = 5

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• 7. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A

  1. 11
  2. 12
  3. 13
  4. 14

  Answer And Explanation

  Answer: Option B

  Explanation:

  Given that A+B = 12 + B + C
  => A – C = 12 + B – B = 12
  => C is younger than A by 12 years

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