A woman is four times as old as her son. In 5 years' time, she will be three times as old as her son. How old is the woman?

2 answers

w = 4s
w+5 = 3(s+5)
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4s+5 = 3s+15
s = 10
so she is 40 and her son is 10
in 5 years, she will be 45, and the son will be 15.
45 = 3*15
Therefore, the woman is 40 years old.