Multiple choice

If age of A is 2 years more than age of B. A's father D is twice as old as A and B is twice as old as his sister C. The age of D is 40 years more than age of C. Find the age of A and B.

  1. 20, 26

  2. 26, 24

  3. 23, 24

  4. 26, 20
Reveal answer Fill a bubble to check yourself
B 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.

AI explanation

Let the present ages of B, A, D, and C be represented by their respective letters. We are given A = B + 2, D = 2A, B = 2C, and D = C + 40. Substituting the values into the last equation gives 2A = C + 40, and replacing A with B + 2 yields 2B + 4 = C + 40. Since B is twice as old as C, substitute B = 2C to get 4C + 4 = C + 40, meaning C = 12. Therefore, B is 24 years old, and A is 26 years old.

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