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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?Options1 : 22 : 34 : 33 : 4

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?Options1 : 22 : 34 : 33 : 4

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Solution

Let's solve this step by step:

Step 1: Let's assume the present age of Sumit and Prakash as 2x and 3x respectively.

Step 2: According to the problem, Sumit is 6 years younger than Prakash. So, we can write the equation as 3x - 2x = 6. Solving this equation, we get x = 6.

Step 3: So, the present age of Sumit is 2x = 26 = 12 years and Prakash is 3x = 36 = 18 years.

Step 4: After 6 years, Sumit's age will be 12 + 6 = 18 years and Prakash's age will be 18 + 6 = 24 years.

Step 5: 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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