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The ratio of the current ages of Ajay and Vijay is 7:4.The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1. Find the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago.12 : 110 : 11 : 1None of these

Question

The ratio of the current ages of Ajay and Vijay is 7:4.The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1. Find the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago.12 : 110 : 11 : 1None of these

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Solution

Let's solve this step by step:

Step 1: Let's assume the current ages of Ajay and Vijay are 7x and 4x respectively.

Step 2: According to the problem, Ajay’s age 6 years ago and Vijay’s age 6 years from now is equal. So, we can write it as (7x - 6) = (4x + 6).

Step 3: Solving the above equation, we get 3x = 12, which gives x = 4.

Step 4: So, the current ages of Ajay and Vijay are 28 years and 16 years respectively.

Step 5: Now, we need to find the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago. So, Ajay’s age 12 years hence will be 28 + 12 = 40 years and Vijay’s age 12 years ago will be 16 - 12 = 4 years.

Step 6: Therefore, the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago is 40:4 = 10:1.

So, the answer is 10:1.

This problem has been solved

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