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the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?

Correct answer: D. 45 years

  • A. 43 years
  • B. 40 years
  • C. 48 years
  • D. 45 years
  • E. None of these

Explanation

The present total age is 3 x 35 years = 105 years. If the mother's age is M years, the condition 15 years from now gives M + 15 = 105 - M, so 2M = 90 and M = 45 years. A likely choice is option b, 40 years, from treating the future 15 years as part of the present total rather than adding it only to the mother's age.

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