The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son. What is the present age of the mother?

Question: The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son. What is the present age of the mother?

Solution:
Let, the mother's age be = 2x years
Then, the son's age = x years

∴(2x − 10) = 3(x − 10)
⇒2x − 10 = 3x −30
⇒x = 20

Son's age = 20 years
Mother's age = (2 × 20) = 40 years