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Select the correct answerSeven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be ratio of their ages 5 years from now?Options31 : 3333 : 3434 : 4133 : 40

Question

Select the correct answerSeven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be ratio of their ages 5 years from now?Options31 : 3333 : 3434 : 4133 : 40

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Solution

The problem can be solved by setting up two equations based on the given ratios and solving them simultaneously.

Let's denote the present ages of A and B as a and b respectively.

From the problem, we know that:

  1. Seven years ago, the ages of A and B were in the ratio 4:5. This gives us the equation: (a - 7) / (b - 7) = 4/5.

  2. Seven years hence, their ages will be in the ratio 5:6. This gives us the equation: (a + 7) / (b + 7) = 5/6.

Solving these two equations simultaneously, we get the present ages of A and B as 28 and 35 respectively.

Now, we need to find the ratio of their ages 5 years from now. So, the ages of A and B five years from now will be 33 and 40 respectively.

Therefore, the ratio of their ages 5 years from now will be 33:40.

So, the correct answer is 33:40.

This problem has been solved

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