Question 46

The average of 15, 12, 17, $$(x + 5)$$, $$(x - 1)$$ and 22 is 15. The value of $$x$$ is

Solution

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The six numbers have average 15, so their sum is $$6 \times 15 = 90$$. Their sum is $$15 + 12 + 17 + (x + 5) + (x - 1) + 22 = 70 + 2x$$. So $$70 + 2x = 90$$, giving $$x = 10$$.

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