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If the average of ten numbers is 50 and the average of the first six numbers is 45, what is the average of the last four numbers?

1. 55
2. 62.5
3. 60
4. 57.5

Correct answer: 57.5

Solution

The sum of ten numbers is 10 × 50 = 500. The sum of the first six numbers is 6 × 45 = 270, so the sum of the last four numbers is 500 - 270 = 230. Their average is 230/4 = 57.5.

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