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The present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is?Options35 years33 years30 years32 years

Question

The present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is?Options35 years33 years30 years32 years

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Solution

Let's solve this step by step:

Step 1: Let's assume the present ages of A and B are 5x and 6x respectively.

Step 2: According to the problem, after 7 years, the ratio of their ages becomes 6:7. So, we can write it as (5x+7)/(6x+7) = 6/7.

Step 3: Cross multiply to solve for x. We get 7*(5x+7) = 6*(6x+7).

Step 4: Simplify this to get 35x + 49 = 36x + 42.

Step 5: Rearrange to find the value of x. We get x = 7.

Step 6: Substitute x = 7 in 5x to get the present age of A. So, A's present age = 5*7 = 35 years.

So, the present age of A is 35 years.

This problem has been solved

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