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Select the correct answerThe ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be?Options2 : 34 : 33 : 41 : 2

Question

Select the correct answerThe ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be?Options2 : 34 : 33 : 41 : 2

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Solution

Let's solve this step by step:

  1. According to the problem, the ratio of Sumit's age to Prakash's age is 2:3. Let's assume the common multiplier to be x. So, Sumit's age is 2x and Prakash's age is 3x.

  2. The problem also states that Sumit is 6 years younger than Prakash. So, we can write the equation as 3x - 2x = 6. Solving this equation, we get x = 6.

  3. Substituting x = 6 in 2x and 3x, we get Sumit's age as 12 years and Prakash's age as 18 years.

  4. The problem asks for the ratio of Sumit's age to Prakash's age after 6 years. After 6 years, Sumit will be 18 years old and Prakash will be 24 years old.

  5. Therefore, the ratio of Sumit's age to Prakash's age after 6 years will be 18:24, which simplifies to 3:4.

So, the correct answer is 3:4.

This problem has been solved

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