The sum of the age of a father and his son is 100 years now. 5 years ago their age were in the ratio of `2:1`. The ratio of the age of father and son after 10 years will be

Options

A. `5:3`
B. `4:3`
C. `10:7`
D. `3:5`

Answer

To solve the problem step by step, we will follow the information given in the question regarding the ages of the father and son.

### Step 1: Set up the equations based on the information given.
Let the current age of the father be \( F \) and the current age of the son be \( S \). According to the problem, we have:
1. \( F + S = 100 \) (The sum of their ages is 100 years)