The average age of husband , wife and their child 3 years ago was 27 years and…

2025

The average age of husband , wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years . The present age of the husband is

  1. A.

    45 years

  2. B.

    40 years

  3. C.

    50 years

  4. D.

    35 years

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Show answer & explanation

Correct answer: B

Answer: 40 years

Let H, W and C be the present ages of the husband, wife and child respectively.

  • Three years ago the average of the three was 27, so (H−3)+(W−3)+(C−3)=3×27=81. Therefore H+W+C=81+9=90.

  • Five years ago the average of wife and child was 20, so (W−5)+(C−5)=2×20=40. Therefore W+C=40+10=50.

  • Husband's present age = (H+W+C) − (W+C) = 90 − 50 = 40 years.

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