The sum of the ages of a boy and his mother is 48. If the mother is three more than twice the boy’s age, find the difference in the ages of the boy and his mother.

18 years

Step-by-step explanation:

let the boy's age my x and mother's age be y

x+y=48

y=3+2x which can also be written as 2x-y=-3

on solving both the equations,

you will get x=15 and y=33

so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18

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