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The ratio of a father’s age to his son’s age is 4 : 1. The product of their ages is 196. What will be the ratio of their ages after 5 years?3 : 24 : 1111 : 44:1

Question

The ratio of a father’s age to his son’s age is 4 : 1. The product of their ages is 196. What will be the ratio of their ages after 5 years?3 : 24 : 1111 : 44:1

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Solution

Let's solve this step by step:

Step 1: Let's denote the father's age as 4x and the son's age as x. The problem states that the product of their ages is 196. So we can set up the equation 4x * x = 196.

Step 2: Simplifying the equation gives us 4x^2 = 196.

Step 3: To solve for x, we divide both sides of the equation by 4, which gives us x^2 = 49.

Step 4: Taking the square root of both sides gives us x = 7.

Step 5: So, the son's age is 7 years and the father's age is 4 * 7 = 28 years.

Step 6: After 5 years, the son will be 7 + 5 = 12 years old and the father will be 28 + 5 = 33 years old.

Step 7: Therefore, the ratio of their ages after 5 years will be 33 : 12.

This problem has been solved

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