BTGmoderatorDC wrote:What is the sum of 3 consecutive integers?

(1) The sum of the 3 integers is less than the greatest of the 3 integers.
(2) Of the 3 integers, the ratio of the least to the greatest is 3.


OA B

Source: Official Guide

Target question: What is the sum of 3 consecutive integers?

Statement 1: The sum of the 3 integers is less than the greatest of the 3 integers.
There are several sets of three consecutive integers that satisfy statement 1. Here are two:
Case a: The numbers are {-1, 0, 1}. In this case the sum is 0, and 0 is less than the biggest number in the set (1). The answer to the target question is the sum of the integers is 0
Case b: The numbers are {-2, -1, 0}. In this case the sum is -3, and -3 is less than the biggest number in the set (0). The answer to the target question is the sum of the integers is -3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Of the 3 integers, the ratio of the least to the greatest is 3.
Let x = the smallest integer
So, x + 1 = the middle integer
And, x + 2 = the greatest integer

From statement to we can write: (x+2)/(x) = 3
Multiply both sides of the equation by x to get: x + 2 = 3x
Subtract x from both sides to get: 2 = 2x
Solve: x = 1
Since x is the smallest integer, we now know that the three consecutive integers are {1, 2, 3}
The answer to the target question is the sum of the integers = 1 + 2 + 3 = 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent