The average age of Donald,his wife,and their | vedclass

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Question

(A) Let $H$ be Donald's age,$W$ be his wife's age,$D$ be his daughter's age,and $S$ be his son's age.The average age of the $4$ family members is $23

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(A) Let $H$ be Donald's age,$W$ be his wife's age,$D$ be his daughter's age,and $S$ be his son's age.The average age of the $4$ family members is $23 	ext{ years}$,so the sum of their ages is $H + W + D + S = 23 	imes 4 = 92 	ext{ years}$.Given: $H = W + 4$.Let $x$ be the number of years passed since the son was born. At that time,$H = 32$,$W = 28$,$D = 4$,and $S = 0$. The sum of their ages was $32 + 28 + 4 + 0 = 64$.Since $92 - 64 = 28$ years have passed for the whole family,and there are $4$ members,the time elapsed since the son was born is $28 / 4 = 7 	ext{ years}$.Present ages:$H = 32 + 7 = 39 	ext{ years}$.$W = 28 + 7 = 35 	ext{ years}$.$D = 4 + 7 = 11 	ext{ years}$.$S = 0 + 7 = 7 	ext{ years}$.Check: $39 + 35 + 11 + 7 = 92$. This matches the total sum.The average age of Donald $(39)$ and his daughter $(11)$ is $(39 + 11) / 2 = 50 / 2 = 25 	ext{ years}$.

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