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The average of three numbers is 35. The first number is 20% more than the second, and the third is 20% less than the second. What is the second number?

1. 35
2. 36
3. 37.5
4. 40

Correct answer: 35

Solution

Let the second number be x. Then the first number is 1.2x and the third number is 0.8x. Their average is 35, so (1.2x + x + 0.8x)/3 = 35, giving x = 35.

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