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elect the correct answerThe ages of A and B are presently in the ratio of 3 : 5. Nine years ago this ratio will become 12 : 23. What is the present age of A?Options27493355

Question

elect the correct answerThe ages of A and B are presently in the ratio of 3 : 5. Nine years ago this ratio will become 12 : 23. What is the present age of A?Options27493355

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Solution

Let's solve this step by step:

  1. Let's assume the present ages of A and B are 3x and 5x respectively.

  2. According to the problem, nine years ago, the ratio of their ages was 12:23. So, we can write this as: (3x - 9) / (5x - 9) = 12 / 23

  3. Cross multiplying to solve for x, we get: 23 * (3x - 9) = 12 * (5x - 9)

  4. Simplifying, we get: 69x - 207 = 60x - 108

  5. Solving for x, we get: 9x = 99 x = 11

  6. Substituting x = 11 back into the equation for A's age, we get: A = 3x = 3 * 11 = 33

So, the present age of A is 33 years.

This problem has been solved

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