Multiple choice

The sum of the ages of A and B 14 years hence will be equal to 2 times their present age. If at present A is 8 years elder to B, then what is the present age of A?

  1. 10 years

  2. 28 years

  3. 18 years

  4. 16 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B's present age = x. Then A's present age = x + 8. After 14 years: A's age = x + 22, B's age = x + 14. Their sum = 2x + 36. This equals 2 × (present sum) = 2(x + x + 8) = 4x + 16. So: 2x + 36 = 4x + 16, giving 20 = 2x, so x = 10. A's present age = 10 + 8 = 18 years.

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