The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10.…

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The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?

  1. A.

    5

  2. B.

    10

  3. C.

    20

  4. D.

    30

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Correct answer: C

Solution:

Step 1 - find x: (2 + 7 + 6 + x) / 4 = 5. So 15 + x = 20 and x = 5.

Step 2 - find y using x = 5: (18 + 1 + 6 + x + y) / 5 = 10. Substituting x = 5 gives 18 + 1 + 6 + 5 + y = 50, so 30 + y = 50 and y = 20.

Answer: y = 20.

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