Multiple choice

A and B are friends and A is older than B by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. The ages of D and C differ by 40 years. Find the ages of A and B.

  1. A= 18 years and B= 24 years

  2. A= 42 years and B= 24 years

  3. A= 56 years and B= 24 years

  4. A= 26 years and B= 24 years
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D Correct answer
Explanation

A = B + 2. D = 2A = 2(B+2) = 2B + 4. B = 2C => C = B/2. D - C = 40 => (2B + 4) - B/2 = 40 => 1.5B = 36 => B = 24. A = 24 + 2 = 26.

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