Multiple choice

Eight years ago, Anushika's age was equal to the sum of the present ages of her one son and one daughter. Five years hence, the respective ratio between the ages of her daughter and her son that time will be (10: 9). If Anushika's husband is 7 years elder to her and his present age is 4 more than three times the present age of his son, what is the present age of the daughter? (in years)

  1. 15

  2. 23

  3. 25

  4. Data Inadequate

  5. None of these
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A Correct answer
Explanation

Let Anushika = A, daughter = D, son = S. Given: A-8 = S+D; (D+5)/(S+5) = 10/9; Husband H = A+7 = 3S+4. Solving: From husband equation, S = (A+3)/3. From first equation: D = A-8-S = A-8-(A+3)/3 = (2A-27)/3. From ratio: 9(D+5) = 10(S+5). Substituting and solving gives D = 15 years.

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