Subjects algebra

Average Other D2B8Ff

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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 $110$.