All credit here goes to a student of mine who brought this in...
The question: A mother is twenty-one years older than her son. In six years, the mother will be five times as old as her son. Where is the father?
The proof: - highlight below to read
Let Mom's age = X
Let Son's age = Y
X = Y+21 (first statement)
X+6 = 5(Y+6)
Via substitution...
Y+21+6 = 5(Y+6)
Y+27 = 5Y+30
-3 = 4Y
-3/4 = Y
So, the son's age is -3/4 years...or -9 months...
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