If the average of five numbers is 12 and four numbers are 10, 14, 9, and 11, what is the fifth?

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Multiple Choice

If the average of five numbers is 12 and four numbers are 10, 14, 9, and 11, what is the fifth?

Explanation:
When a set of five numbers has an average of 12, their total sum must be 5 × 12 = 60. The four known numbers add up to 10 + 14 + 9 + 11 = 44. The remaining number must bring the total to 60, so the fifth number is 60 − 44 = 16. If you test other options, they don’t reach the required total, so 16 is the number that fits the given average.

When a set of five numbers has an average of 12, their total sum must be 5 × 12 = 60. The four known numbers add up to 10 + 14 + 9 + 11 = 44. The remaining number must bring the total to 60, so the fifth number is 60 − 44 = 16. If you test other options, they don’t reach the required total, so 16 is the number that fits the given average.

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