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:

35 y e a r s

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40 y e a r s

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50 y e a r s

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None of these

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Solution

The correct option is A $40 y e a r s$
Sum of the present ages of husband, wife and child $= (27 \times 3 + 3 \times 3) y e a r s = 90 y e a r s$ .
Sum of the present ages of wife and child $= (20 \times 2 + 5 \times 2) y e a r s = 50 y e a r s$ .
$∴$ Husband's present age $= (90 - 50) y e a r s = 40 y e a r s$ .

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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:

The correct option is A 40 yearsSum of the present ages of husband, wife and child =(27×3+3×3)years=90 years.Sum of the present ages of wife and child =(20×2+5×2)years=50 years.∴ Husband's present age =(90−50)years=40 years.

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: