Present age of father is 42 years and that of his son is 14 years. Find the ratio of
Age of the father to the age of son, when son was 12 years old.

Answer

To solve the problem step by step, let's break it down:

### Step 1: Identify the present ages
- Present age of father = 42 years
- Present age of son = 14 years

### Step 2: Determine the age of the son when he was 12 years old
- The son is currently 14 years old. Therefore, he was 12 years old 2 years ago (14 - 12 = 2 years ago).

### Step 3: Calculate the father's age when the son was 12
- Since the son was 12 years old 2 years ago, we need to subtract 2 years from the father's current age as well.
- Father's age when son was 12 = 42 years - 2 years = 40 years

### Step 4: Write the ages when the son was 12
- Father's age = 40 years
- Son's age = 12 years

### Step 5: Find the ratio of the father's age to the son's age
- The ratio of father's age to son's age = Father's age : Son's age = 40 : 12

### Step 6: Simplify the ratio
- To simplify the ratio 40 : 12, we divide both numbers by their greatest common divisor (GCD), which is 4.
- 40 ÷ 4 = 10
- 12 ÷ 4 = 3
- Thus, the simplified ratio is 10 : 3.

### Final Answer
The ratio of the father's age to the son's age when the son was 12 years old is **10 : 3**.

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