Problems on Ages Questions Answers

• 15. 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 :

  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

• 16. 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
  5. Only assumption I is implicit
  6. Only assumption II is implicit
  7. Either I or II is implicit
  8. Neither I nor II is implicit
  9. Both I and II are implicit

  Answer :

  Option F

  Explanation:

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

• 17. Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence

  1. 18
  2. 25
  3. 15
  4. 20
  5. Only conclusion I follows
  6. Only conclusion II follows
  7. Either I or II follows
  8. Neither I nor II follows
  9. Both I and II follow

  Answer :

  Option

  Explanation:

  Sachin's age today = 30 years.
  Sachin's age 10 years back = 20 years.
  Ajay's age 10 years back = 10 years.
  Ajay's age today =20 years

• 18. Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.

  1. 11:50
  2. 11:51
  3. 11:53
  4. 11:54

  Answer :

  Option C

  Explanation:

  Let, Tanya age 16 years ago = x,
  Grandfather's age 16 years ago = 8x.
  
  8 years from now, 3(x+16+8) = (8x+16+8)
  => x = 48/5
  
  8 years ago ratio was:
  
  \begin{aligned}
  => \frac{x+8}{8x+8} = \frac{\frac{48}{5}+8}{8 \times \frac{48}{5}+8}
  \end{aligned}
  
  \begin{aligned}
  => \frac{88}{424} = \frac{11}{53}
  \end{aligned}

• 19. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present

  1. 38
  2. 40
  3. 42
  4. 44

  Answer :

  Option B

  Explanation:

  Let the mother's present age be x years.
  Then, the person's present age = (2/5 x) years.
  
  => (2/5 x + 8/2) = 1 (x + 8)
  => 2(2x + 40) = 5(x + 8)
  => x = 40

• 20. Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.

  1. 14
  2. 15
  3. 20
  4. 22

  Answer :

  Option B

  Explanation:

  Present age is 4x and 3x,
  => 4x + 6 = 26 => x = 5
  
  So Deepak age is = 3(5) = 15

• 21. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is

  1. 21 years
  2. 22 years
  3. 23 years
  4. 24 years

  Answer :

  Option B

  Explanation:

  Let's Son age is x, then Father age is x+24.
  => 2(x+2) = (x+24+2)
  => 2x+4 = x+26
  => x = 22 years