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The present age of Meena is 8 times the age of the son. Eight years hence, the ratio of the ages of Meena and her son will be 10 : 3. How old is Meena at present?Options36 years40 years32 years38 years

Question

The present age of Meena is 8 times the age of the son. Eight years hence, the ratio of the ages of Meena and her son will be 10 : 3. How old is Meena at present?Options36 years40 years32 years38 years

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Solution

Let's denote the present age of Meena as M and the present age of her son as S.

From the problem, we know that:

  1. M = 8S (Meena's age is 8 times the age of her son)

  2. In 8 years, the ratio of Meena's age to her son's age will be 10:3. So, we can write this as (M+8)/(S+8) = 10/3.

Now, we can solve these equations step by step:

Step 1: Substitute M from equation 1) into equation 2). We get 8S+8 = 10/3 * (S+8).

Step 2: Simplify the equation to get 24S + 24 = 10S + 80.

Step 3: Rearrange the equation to get 14S = 56.

Step 4: Solve for S to get S = 4.

Step 5: Substitute S = 4 into equation 1) to get M = 8*4 = 32.

So, Meena is 32 years old at present. The correct answer is 32 years.

This problem has been solved

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