The average age of a husband,wife,and their c | vedclass

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Question

(B) Let the present ages of the husband,wife,and child be $H$,$W$,and $C$ respectively.The average age of the husband,wife,and child $3 	ext{ years}$

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) Let the present ages of the husband,wife,and child be $H$,$W$,and $C$ respectively.The average age of the husband,wife,and child $3 	ext{ years}$ ago was $27 	ext{ years}$.Sum of their ages $3 	ext{ years}$ ago $= 27 	imes 3 = 81$.Sum of their present ages $(H + W + C) = 81 + (3 	imes 3) = 81 + 9 = 90$.The average age of the wife and child $5 	ext{ years}$ ago was $20 	ext{ years}$.Sum of their ages $5 	ext{ years}$ ago $= 20 	imes 2 = 40$.Sum of their present ages $(W + C) = 40 + (5 	imes 2) = 40 + 10 = 50$.Now,subtract the sum of the wife and child's present ages from the total sum:$H = (H + W + C) - (W + C) = 90 - 50 = 40$.Therefore,the present age of the husband is $40 	ext{ years}$.

The average age of a husband,wife,and their child $3 \text{ years}$ ago was $27 \text{ years}$,and the average age of the wife and the child $5 \text{ years}$ ago was $20 \text{ years}$. The present age of the husband is (in $\text{years}$):

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