MathRevolution wrote:

There are 30 consecutive integers. What is the sum of the integers?

1) The sum of the smallest integer and the greatest integer is -1

2) The greatest integer is 14.

St I

The sum of the smallest integer and the greatest integer is -1

x -- first integer and x + 29 --- last integer

x + x + 29 = -1

2x = -30

x = -15 and x + 29 = 14

since all the integers from 14 to -14 cancel out each other we are left with only -15

sum of the consecutive integers = -15 ---------Sufficient

St II

The greatest integer is 14

Since 14 is greatest, the consecutive integers will be 14 13 12 11.....-14 -15

since all the integers from 14 to -14 cancel out each other we are left with only -15

sum of the consecutive integers = -15 ---------Sufficient

Hence option D is correct

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