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Select 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?Options33274955

Question

Select 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?Options33274955

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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 gives us:

    23 * (3x - 9) = 12 * (5x - 9)

  4. Simplifying this equation gives:

    69x - 207 = 60x - 108

  5. Solving for x gives:

    x = 99 / 9 = 11

  6. So, the present age of A (which is 3x) is:

    3 * 11 = 33

So, the correct answer is 33.

This problem has been solved

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