The average of 20 numbers is 32. If two numbers are 29 and 31, what is the average of the remaining numbers? (Correct up to two decimals)

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**Solution:**

1. Calculate the total sum of the 20 numbers using the average formula:
   $$	ext{Total Sum} = 	ext{Average} 	imes 	ext{Number of terms} = 32 	imes 20 = 640$$

2. Subtract the two given numbers (29 and 31) from the total sum:
   $$640 - (29 + 31) = 640 - 60 = 580$$

3. Calculate the average of the remaining 18 numbers:
   $$	ext{New Average} = \frac{580}{18} \approx 32.22$$

**Answer:** The average of the remaining numbers is $32.22$.

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