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elect the correct answerThe ratio of the present ages of two boys is 3 : 4. After 3 years, the ratio of their ages is equal to will be 4 : 5.The ratio of their ages after 21 years will be?Options14 : 1711 : 1210 : 1117 : 19

Question

elect the correct answerThe ratio of the present ages of two boys is 3 : 4. After 3 years, the ratio of their ages is equal to will be 4 : 5.The ratio of their ages after 21 years will be?Options14 : 1711 : 1210 : 1117 : 19

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Solution

Let's solve this step by step:

  1. Let's assume the present ages of the two boys are 3x and 4x years respectively.

  2. According to the problem, after 3 years, the ratio of their ages will be 4:5. So, we can set up the equation as follows:

    (3x + 3) / (4x + 3) = 4/5

  3. Solving this equation, we get x = 3.

  4. So, the present ages of the boys are 33 = 9 years and 43 = 12 years.

  5. After 21 years, the ages of the boys will be 9+21 = 30 years and 12+21 = 33 years.

  6. Therefore, the ratio of their ages after 21 years will be 30:33, which simplifies to 10:11.

So, the correct answer is 10:11.

This problem has been solved

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