The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are?

Question: The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are?

Solution:
Let, the daughter's age be x years.
Then, mother's age = (56 - x) years.

ATQ,
(56 - x) + 4 = 3(x + 4)
⇒ 60 - x = 3x + 12
⇒ 4x = 48
⇒ x = 12

∴ Daughter's age = 12 years
And the mother's age = (56 - 12) = 44 years.