Question: 38. The average of 5 numbers is 82. Three of the numbers are 53, 65 and 72. Find the average of the other 2 numbers.
1. **State the problem:** We know the average of 5 numbers is $82$, and three of these numbers are $53$, $65$, and $72$. We need to find the average of the other 2 numbers.
2. **Recall the formula for average:**
$$\text{Average} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}}$$
3. **Calculate the total sum of all 5 numbers:**
Since the average is $82$ for $5$ numbers,
$$\text{Sum of all 5 numbers} = 82 \times 5 = 410$$
4. **Sum of the known 3 numbers:**
$$53 + 65 + 72 = 190$$
5. **Sum of the other 2 numbers:**
$$\text{Sum of other 2 numbers} = 410 - 190 = 220$$
6. **Find the average of the other 2 numbers:**
$$\text{Average} = \frac{220}{2} = 110$$
**Final answer:** The average of the other 2 numbers is $110$.