Multiple choice

A mother after 4 years will be twice the age of her daughter. The sum of their age is 46. What is the present age of the daughter?

  1. 14

  2. 15

  3. 16

  4. None of these
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A Correct answer
Explanation

Let the daughter's present age be x. Mother's age is 46-x. After 4 years, daughter will be (x+4) and mother will be (46-x+4) = (50-x). At that time, mother will be twice as old: (50-x) = 2(x+4). Solving: 50 - x = 2x + 8, giving 3x = 42, so x = 14. Daughter is 14 years old.

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