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Select the correct answerOne year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?Options10 : 98 : 79 : 87 : 6

Question

Select the correct answerOne year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?Options10 : 98 : 79 : 87 : 6

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Solution

To solve this problem, we need to use the concept of ratios and proportions.

Step 1: Let's denote the ages of A and B one year ago as 4x and 3x respectively.

Step 2: According to the problem, the ratio of their ages 3 years from now will be 6:5. This means that (4x + 4) / (3x + 4) = 6 / 5.

Step 3: Solving this equation, we get x = 2.

Step 4: So, one year ago, A was 8 years old and B was 6 years old.

Step 5: Nine years from now, A will be 8 + 10 = 18 years old and B will be 6 + 10 = 16 years old.

Step 6: Therefore, the ratio of their ages 9 years from now will be 18:16, which simplifies to 9:8.

So, the correct answer is 9:8.

This problem has been solved

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