The present age of a mother is 3 years more than three times the age of her daughter. Three years hence, the mother’s age will be 10 years more than twice the age of the daughter. Find the present age of the mother.

Question: The present age of a mother is 3 years more than three times the age of her daughter. Three years hence, the mother’s age will be 10 years more than twice the age of the daughter. Find the present age of the mother.Solution: Let the daughter’s present age be ‘n’ years.∴ Mother’s present age = (3n + 3) yearsSo, according to the question(3n + 3 + 3) = 2 (n + 3) + 10⇒ 3n + 6 = 2n + 16⇒ n = 10Hence, mother’s present age = (3n + 3) = ((3 × 10) + 3) years = 33 years