Boy-toying around
Algebra
Level
2
A woman is 3 times as old as her boy-toy.
The product of their ages is 15 times the sum of their ages.
How old is the boy-toy?
The answer is 20.
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1 solution
Let her age by w, and his age t.
w = 3t
wt = 15 (w +t)
(3t)t = 15 (3t + t)
3 t 2 = 6 0 t
t = 20