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The ratio of the ages of A and B twelve years ago was 2 : 3 and the ratio of the ages of B and C 12 years from now will also be 2 : 3. If the average age of A and C at present is 57 years, the ratio of the ages of B and C was/will be 1 : 2

Question

The ratio of the ages of A and B twelve years ago was 2 : 3 and the ratio of the ages of B and C 12 years from now will also be 2 : 3. If the average age of A and C at present is 57 years, the ratio of the ages of B and C was/will be 1 : 2

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Solution

The problem doesn't seem to be complete. It doesn't provide a question to answer. However, I can help you set up the equations based on the information given.

Let's denote the present ages of A, B, and C as A, B, and C respectively.

  1. Twelve years ago, the ratio of the ages of A and B was 2:3. So, we can write this as (A-12)/(B-12) = 2/3.

  2. Twelve years from now, the ratio of the ages of B and C will be 2:3. So, we can write this as (B+12)/(C+12) = 2/3.

  3. The average age of A and C at present is 57 years. So, we can write this as (A+C)/2 = 57, which simplifies to A+C = 114.

  4. The problem also states that the ratio of the ages of B and C was/will be 1:2. However, it doesn't specify when this ratio applies, so we can't form an equation from this information.

Without a specific question or additional information, we can't solve these equations. Please provide the complete problem.

This problem has been solved

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