Let the son’s present age be x years.
∴ Mother’s present age = (x + 25) years
After 8 years,
Son’s age = (x + 8) years
Mother’s age = (x + 25 + 8) = (x + 33) years .
Since, the ratio of the son’s age to mother’s age after 8 years is 4/9.
\(\cfrac{x+8}{x+33} =\cfrac{4}{9}\)
∴ 9 (x + 8) = 4 (x + 33)
∴ 9x + 72 = 4x + 132
∴ 9x – 4x = 132 – 72
∴ 5x = 60
∴ x = \(\cfrac{60}{5}\)
∴ x = 12
∴ Son’s present age is 12 years.
