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24 Jun 2024, 08:58
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
75% (00:35) correct
25% (00:34) wrong based on 4 sessions
History
Date
Time
Result
Not Attempted Yet
Three consecutive integers have a sum of -84.
Quantity A
The least of the three integers
Quantity B
-28
Quantity A
The least of the three integers
Quantity B
-28
14 Jul 2024, 11:05
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Official Explanation
Two approaches you could use to solve this problem are:
1: Translate from words to algebra.
2: Determine a mathematical relationship between the two quantities.
Approach 1: You can represent the least of the three consecutive integers by x, and then the three integers would be represented by x, x + 1, and x + 2. It is given that the sum of the three integers is -84, so x + (x + 1) + (x + 2) = -84.
You can solve this equation for x as follows.
x + (x + 1) + (x + 2) = -84
3x + 3 = -84
3x = -87
x = -29
Since the least of the three integers, -29, is less than -28, the correct answer is Choice B.
Approach 2: You could ask yourself what would happen if the least of the three consecutive integers was -28. The three consecutive integers would then be -28, -27, and -26, and their sum would be -81. But you were given that the sum of the three consecutive integers is -84, which is less than -81.
Therefore, -28 is greater than the least of the three consecutive integers, and the correct answer is Choice B.
Two approaches you could use to solve this problem are:
1: Translate from words to algebra.
2: Determine a mathematical relationship between the two quantities.
Approach 1: You can represent the least of the three consecutive integers by x, and then the three integers would be represented by x, x + 1, and x + 2. It is given that the sum of the three integers is -84, so x + (x + 1) + (x + 2) = -84.
You can solve this equation for x as follows.
x + (x + 1) + (x + 2) = -84
3x + 3 = -84
3x = -87
x = -29
Since the least of the three integers, -29, is less than -28, the correct answer is Choice B.
Approach 2: You could ask yourself what would happen if the least of the three consecutive integers was -28. The three consecutive integers would then be -28, -27, and -26, and their sum would be -81. But you were given that the sum of the three consecutive integers is -84, which is less than -81.
Therefore, -28 is greater than the least of the three consecutive integers, and the correct answer is Choice B.
