Multiple choice

A's age is 6 times B's age. Fifteen years later, A's age will be 3 times B's age. Find the present ages of A and B.

  1. 8 years and 64 years

  2. 10 years and 60 years

  3. 12 years and 72 years

  4. 18 years and 26 years

  5. 15 years and 55 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A = 6B. (A + 15) = 3(B + 15). 6B + 15 = 3B + 45. 3B = 30, so B = 10. A = 60.

AI explanation

Let B's present age be x, so A's present age is 6x. Fifteen years later their ages will be x + 15 and 6x + 15, giving the equation 6x + 15 = 3 times (x + 15). Solving yields 3x = 30, so x = 10, meaning B is 10 and A is 60.

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