[email protected] wrote:A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?
-165
-175
-195
-205
-215
For any EVENLY SPACED SET:
sum = (number)(median).
Since the sum of the 5 largest integers = -185, the median of the 5 largest integers = sum/number = -185/5 = -37.
Thus, the 5 largest integers are as follows:
-41, -39, -37, -35, -33.
Adding to the set the 2 smallest integers, we get:
-45, -43, -41, -39, -37, -35, -33.
The median of the 5 smallest integers = -41.
Thus:
Sum of the 5 smallest integers = (number)(median) = (5)(-41) = -205.
The correct answer is
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