Question

The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.

Answer 1

Let age of son = x years

The age of woman = x + 19

∴ x + x + 19 = 37

⇒ 2x + 19 = 37

⇒ 2x = 37 - 19 = 18

⇒ x = `18/2 = 9`

∴ Age of son = 9 years