If age of Amit is 15 years and age of Rahul is 12 years, find the ratio of age of Amit to age of Rahul.

Answer

To find the ratio of the age of Amit to the age of Rahul, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Ages**:
- Age of Amit = 15 years
- Age of Rahul = 12 years

2. **Write the Ratio**:
- The ratio of the age of Amit to the age of Rahul can be expressed as:
\[ \text{Ratio} = \frac{\text{Age of Amit}}{\text{Age of Rahul}} = \frac{15}{12} \]

3. **Simplify the Ratio**:
- To simplify the ratio \( \frac{15}{12} \), we need to find the greatest common divisor (GCD) of 15 and 12. The GCD of 15 and 12 is 3.
- Now, divide both the numerator and the denominator by their GCD:
\[ \frac{15 \div 3}{12 \div 3} = \frac{5}{4} \]

4. **Express the Final Ratio**:
- The simplified ratio of the age of Amit to the age of Rahul is:
\[ 5 : 4 \]

### Final Answer:
The ratio of the age of Amit to the age of Rahul is \( 5 : 4 \).