BTGmoderatorDC wrote:If the sum of 3 consecutive integers is 54, then what is the product of the smallest and largest of these integers?
a) 280
b) 292
c) 312
d) 320
e) 323
Average of the 3 consecutive integers = sum/quantity = 54/3 = 18.
For any set of consecutive integers, average = median.
Thus, the median of the 3 integers = 18, implying that the 3 integers are 17, 18, and 19.
Product of the smallest and largest = 17*19 = integer with a units digit of 3.
The correct answer is
E.
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