Discussion
If the average of the numbers 2x + 3, 3x + 2, 25, x + 6, 26, x + 5 is 17, then what is the average of (4x + 3) and (7x - 8)?
Answer: D
The average is 25. The six numbers add up to \[(2x+3)+(3x+2)+25+(x+6)+26+(x+5) = 7x + 67\] Their average is 17, so the sum is 6 x 17 = 102. Then 7x = 35 and x = 5. Hence 4x + 3 = 23 and 7x - 8 = 27, and the average of 23 and 27 is 25. The other options come from slips such as wrong x or adding instead of averaging.
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