The ratio of Mark’s age to Reeta’s age is 3 : 5.
Mark’s age is 24 years.

Work out Reeta’s age.


Given the ratio of Mark's age to Reeta's age is 3:5, and Mark's age is 24 years, we can determine Reeta's age using the following steps:

### Step 1: Understand the Ratio
The ratio of Mark's age to Reeta's age is 3:5. This means:
\[
\frac{\text{Mark's age}}{\text{Reeta's age}} = \frac{3}{5}
\]

### Step 2: Express the Relationship
Let Reeta's age be \( x \) years. According to the ratio:
\[
\frac{24}{x} = \frac{3}{5}
\]

### Step 3: Solve for Reeta's Age
Cross-multiply to solve for \( x \):
\[
3x = 24 \times 5
\]
\[
3x = 120
\]
\[
x = \frac{120}{3}
\]
\[
x = 40
\]

### Final Answer:
Reeta's age is **40 years**.

Would you like more details, or do you have any other questions?

Here are five related questions to consider:
1. If Reeta’s age were given instead, how would you calculate Mark’s age?
2. What if the ratio was given as 4:7 instead of 3:5?
3. How would the problem change if Mark's age was unknown, but Reeta's age was 40?
4. If Mark’s age increases to 30 years, what will Reeta’s age be assuming the ratio stays the same?
5. How does the ratio concept apply if you know their ages are 24 and 40 directly?

**Tip:** When working with ratios, always ensure you multiply or divide consistently to maintain the proportion.

Learn how to calculate Reeta's age using ratio and proportion with Mark's age given as 24 years. Step-by-step solution included. Suitable for students in Grades 6-8.

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