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Select the correct answerThe current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is?Options5 years9 years15 years3 years

Question

Select the correct answerThe current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is?Options5 years9 years15 years3 years

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Solution

Let's solve this step by step:

  1. Let's assume the current ages of Sonali and Monali are 5x and 3x years respectively.

  2. According to the problem, five years from now, the ratio of their ages will be 10:7. So, we can write it as:

    (5x + 5) / (3x + 5) = 10 / 7

  3. Cross-multiplying gives us:

    7*(5x + 5) = 10*(3x + 5)

  4. Simplifying this gives:

    35x + 35 = 30x + 50

  5. Solving for x gives:

    35x - 30x = 50 - 35 5x = 15 x = 15 / 5 x = 3

  6. Substituting x = 3 in 3x gives Monali’s current age as 3*3 = 9 years.

So, the correct answer is 9 years.

This problem has been solved

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