Sen has three daughters Wen, Fen, and Hen. Three years ago when Sen was twice as old as Hen, he was years older than Fen. Now, he is years older than Wen. In years, Wen will be half as old as Hen. What is the sum of the current ages of Sen and his three daughters?
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We can solve this with 4 equations and 4 unknowns.
Let S stands for age of Sen,
H stands for age of Hen,
W stands for age of Wen,
and F stands for age of Fen, then:
S − 3 = 2 ( H − 3 ) … 1 e q
S − 3 = ( F − 3 ) + 3 0 … 2 e q
S = W + 4 7 … 3 e q
( W + 4 ) = 2 H + 4 … 4 e q
Solving for our variables yields:
⟹ W = 1 4 , S = 6 1 , H = 3 2 , a n d F = 3 1 ⟹ W + S + H + F = 1 3 8