A woman is four times as old as her son. After 4 years, she will be thrice as old as her son. Find the present ages
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Step-by-step explanation:
Son's present age is 10 (denoted by "x")
Mother's present age is: 40 (denoted by "4x"
In 20-years' time, the Son's age will be x + 20
and the Mother's age will 4x + 20 which equals twice x + 20
Therefore, 2(x + 20) = 4x + 20
2x + 40 = 4x + 20
2x - 4x = 20 - 40
-2x = -20
x = 10 (Son's present age)
4x = 40 (Mother's present age)
Son's age in 20-years' time = 30
Mother: 40 + 20 = 60 = twice Son's age.
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