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Question A mother is 5 times her daughter’s age. In 6 years, the mother will be 3 times her daughter’s age. How old is the daughter now?
Let the present age of the daughter = x years And the present age of her mother = y years According to the question, 5(x) = y ⇒ 5x = y …..(i) In 6 years, 3(x + 6) = y + 6 ⇒ 3x + 18 = y + 6 ⇒ 3x + 18 – 6 = y ⇒ 3x + 12 = y …..(ii) From equations (i) and (ii), we get 3x + 12 = 5x ⇒ 5x – 3x = 12 ⇒ 2x = 12 ⇒ x = 6 The present age of the daughter = 6 years