Multiple choice

P's age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter's age and his son's age will be 7 : 6 respectively. P's wife is 7 years elder than him. His wife's present age is thrice the present age of his son. What is his daughter's present age?

  1. 18 years

  2. 20 years

  3. 23 years

  4. 28 years

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

Let P's age = P, Son = S, Daughter = D. (P-8) = S+D. (D+5)/(S+5) = 7/6. Wife = P+7 = 3S. Solve system: P = 3S-7. (3S-7-8) = S+D -> D = 2S-15. (2S-15+5)/(S+5) = 7/6 -> (2S-10)/(S+5) = 7/6. 12S-60 = 7S+35 -> 5S = 95 -> S = 19. D = 2(19)-15 = 38-15 = 23.

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