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Ratio of the present age of a father to that of the son is 7 : 1. After 5 years the ratio will become 4: 1. What is the difference (in years) in their present ages?Options :10203040

Question

Ratio of the present age of a father to that of the son is 7 : 1. After 5 years the ratio will become 4: 1. What is the difference (in years) in their present ages?Options :10203040

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Solution

Let's solve this step by step:

Step 1: Let's assume the present age of the father is 7x and the present age of the son is x.

Step 2: According to the problem, after 5 years the ratio of their ages will be 4:1. So, we can write it as (7x+5) : (x+5) = 4 : 1.

Step 3: If we cross multiply, we get 7x + 5 = 4x + 20.

Step 4: Simplifying this, we get 3x = 15.

Step 5: Solving for x, we get x = 5.

Step 6: So, the present age of the father is 7x = 7*5 = 35 years and the present age of the son is x = 5 years.

Step 7: The difference in their present ages is 35 - 5 = 30 years.

So, the correct option is 30.

This problem has been solved

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