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Select the correct answerThe present ages of A and B are in the ratio 3 : 4. Ten years ago, this ratio was 4 : 7. The present ages of A and B are respectively?Options24 years, 32 years21 years, 28 years18 years, 24 years27 years, 36 years

Question

Select the correct answerThe present ages of A and B are in the ratio 3 : 4. Ten years ago, this ratio was 4 : 7. The present ages of A and B are respectively?Options24 years, 32 years21 years, 28 years18 years, 24 years27 years, 36 years

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Solution

Let's solve this step by step:

Step 1: Let's assume the present ages of A and B are 3x and 4x respectively.

Step 2: According to the problem, ten years ago, the ratio of their ages was 4 : 7. So, we can write this as (3x - 10) / (4x - 10) = 4/7.

Step 3: Cross-multiplying gives us 7*(3x - 10) = 4*(4x - 10).

Step 4: Simplifying this, we get 21x - 70 = 16x - 40.

Step 5: Rearranging the terms, we get 21x - 16x = 70 + 40.

Step 6: Simplifying further, we get 5x = 110.

Step 7: Solving for x, we get x = 22.

Step 8: Substituting x = 22 in 3x and 4x, we get the present ages of A and B as 66 years and 88 years respectively.

However, none of the options match this result. There seems to be a mistake in the problem or the options provided.

This problem has been solved

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