ExplainationTo find the average, divide the total by the number of values. So,\(\frac{10+12+n+n}{4}> 25.\)
Multiply both sides of the inequality by 4 and then subtract 22 (10 + 12) to find 2n > 78. Divide by 2 to find n > 39. So, n is NOT 39; it is the least integer greater than 39, which is 40.
Alternatively, you could plug in the answers starting with choice (A) because the question asks for the least possible value. If n = 38 or 39, then the average is not greater than 25. If n = 40, the average is greater than 25.
The answer is choice C.
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