The age of Chandi and Radhika are in the ratio `5:3`. If Chandi's age is 20 years, find the age of Radhika.

Answer

To solve the problem, we will follow these steps:

1. **Understand the Ratio**: The ages of Chandi and Radhika are in the ratio of 5:3. This means that for every 5 parts of Chandi's age, Radhika has 3 parts.

2. **Identify Chandi's Age**: We are given that Chandi's age is 20 years.

3. **Set Up the Proportion**: We can express the ages of Chandi and Radhika in terms of the ratio. Let Chandi's age be represented as 5x and Radhika's age as 3x, where x is a common multiplier.

\[ \frac{\text{Chandi's Age}}{\text{Radhika's Age}} = \frac{5}{3} \]

4. **Substitute Chandi's Age**: Since Chandi's age is given as 20 years, we can set up the equation:

\[ \frac{20}{\text{Radhika's Age}} = \frac{5}{3} \]

5. **Cross Multiply**: To find Radhika's age, we will cross-multiply:

\[ 20 \times 3 = 5 \times \text{Radhika's Age} \]

This simplifies to:

\[ 60 = 5 \times \text{Radhika's Age} \]

6. **Solve for Radhika's Age**: Now, we can solve for Radhika's age by dividing both sides by 5:

\[ \text{Radhika's Age} = \frac{60}{5} = 12 \text{ years} \]

7. **Conclusion**: Therefore, Radhika's age is 12 years.

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