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Three numbers, each pair combined with part of the third gives known results: average of the three

This type of question, asked 2 times: 14 Sep 2025 S1, 15 Sep 2025 S3. All 2 questions below, oldest first.

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  1. Question 1

    14 Sep 2025 S1

    57
    Three numbers are such that when the average of any two of them is added to the third, the results obtained are 180, 168, and 150, respectively. What is the average of the original three numbers?

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  2. Question 2

    15 Sep 2025 S3

    57
    Three numbers are such that when the sum of any two of them is added to half of the third, the results are 210, 198, and 192 respectively. What is the average of the three numbers?

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