Multiple choice

The ratio of present ages of A and B is 4:3. 7 years hence the ratio of the ages of A and B will be 9:7. Find the present age of A?

  1. 52

  2. 56

  3. 60

  4. 64

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

Let ages be 4x and 3x. After 7 years, (4x+7)/(3x+7) = 9/7. Cross-multiplying: 7(4x+7) = 9(3x+7) => 28x + 49 = 27x + 63 => x = 14. Present age of A = 4x = 4 * 14 = 56.

AI explanation

Using the cross-multiplication method for ratios, we get 7(4x + 7) = 9(3x + 7), which simplifies to 28x + 49 = 27x + 63. Solving this yields x = 14. The present age of A is 4 multiplied by 14, giving 56.