Question

The average of seven numbers is 28. the average of the first three numbers is 22 and the average of the last three numbers is 32. what is the middle number?

Answer 1

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Answer 2

STEP 1: Find the sum of the 7 numbers:

Average of 7 numbers = 28 (Given)

Sum of the 7 numbers = 28 x 7 = 196

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STEP 2: Find the sum of the first 3 numbers:

Average of the first 3 numbers = 22

Sum of the first 3 numbers = 22 x 3 = 66

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STEP 3: Find the sum of the last 3 numbers:

Average of the last 3 numbers = 32

Sum of the last 3 numbers = 32 x 3 = 96

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STEP 4: Find the sum of the 6 numbers:

Sum of the 6 numbers = 66 + 96 = 162

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STEP 5: Find the middle number:

Middle number = 196 - 162 = 34.

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Answer: The middle number is 34