Multiple choice

The ratio of the age of A and B 15 years ago was (7 \colon 9). The ratio of their present ages is (5 \colon 6). What will be the present age of A?

  1. 40 years

  2. 50 years

  3. 55 years

  4. 27 years

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages of A and B be 5x and 6x. Fifteen years ago: (5x - 15)/(6x - 15) = 7/9. Cross-multiplying: 9(5x - 15) = 7(6x - 15), so 45x - 135 = 42x - 105. Therefore 3x = 30, giving x = 10. Present age of A = 5 × 10 = 50 years.