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Three numbers have an average of 135. The greatest of them is 195, and the other two differ by 20. What is the smallest number?

1. 65
2. 105
3. 95
4. 115

Correct answer: 95

Solution

The three numbers sum to 405. Removing 195 leaves 210 for the other two, which differ by 20, giving 115 and 95. The smallest is 95.

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