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AlgebraMediumMissing value from an average

Algebra practice question

The average (arithmetic mean) of x, 7 and 11 is 10. What is the value of x?

Answer: 12

The three numbers total 3 × 10 = 30. So x = 30 − 7 − 11 = 12.

Common wrong answers

If you answered 9
9 is the average of 7 and 11, ignoring x's role in the total.
If you answered 10
10 is the average itself, not the missing number.
If you answered 30
30 is the total of the three numbers, not x.

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