Question
The present ages of a mother and her daughter are in the
ratio 5 : 2. Four years ago, their ages were in the ratio 3 : 1. What will be the mother’s age 6 years from now?Solution
ATQ, Let present ages: mother = 5x, daughter = 2x Four years ago: (5x − 4) : (2x − 4) = 3 : 1 ⇒ 5x − 4 = 3(2x − 4) ⇒ 5x − 4 = 6x − 12 ⇒ x = 8 Mother’s present age = 5×8 = 40 After 6 years = 40 + 6 = 46.
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