Multiple choice

B's age is 6 years older than A. The ratio of B's age 9 years hence and C's present age is 9 : 8. At present C's age is twice A's age. What will be age of B after 5 years.

  1. 18 years

  2. 25 years

  3. 23 years

  4. 48 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A = x, B = x + 6, C = 2x. (B + 9) / C = 9 / 8, so (x + 15) / 2x = 9 / 8. Solving gives 8x + 120 = 18x, so 10x = 120, x = 12. B's present age is 18. After 5 years, B is 23.

AI explanation

Let A's present age be x, making B's present age x + 6 and C's present age 2x. Nine years hence, B's age will be x + 15, and the ratio of this to C's present age is 9:8, giving the equation 8(x + 15) = 9(2x). Solving 8x + 120 = 18x yields x = 12, so B's present age is 12 + 6 = 18. Therefore, B's age after 5 years will be 18 + 5 = 23 years.

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