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22 Feb 2022, 09:58
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A
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If 22 - |y + 14| = 20, what is the sum of all possible values of y ?
A. -28
B. -16
C. -12
D. -4
E. 4
A. -28
B. -16
C. -12
D. -4
E. 4
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Updated on: 22 Feb 2022, 10:44
Originally posted by BrentGMATPrepNow on 22 Feb 2022, 10:27.
Last edited by BrentGMATPrepNow on 22 Feb 2022, 10:44, edited 1 time in total.
Last edited by BrentGMATPrepNow on 22 Feb 2022, 10:44, edited 1 time in total.
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Bunuel
Given: 22 - |y + 14| = 20
Subtract 22 from both sides of the equation: -|y + 14| = -2
Multiply both sides of the equation by -1 to get: |y + 14| = 2
Since |2| = 2, and |-2| = 2, we can conclude the following:
Either y + 14 = 2, which means y = -12
Or y + 14 = -2, which means y = -16
So, the sum of the possible solutions = -12 + -16 = -28
Answer: A
27 Apr 2023, 10:05
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Official Solution:
If \(22 - |y + 14| = 20\), what is the sum of all possible values of y ?
A. \(-28\)
B. \(-16\)
C. \( -12\)
D. \(-4\)
E. \(4\)
\(22 - |y + 14| = 20\);
\(|y + 14| = 2\);
\(y + 14 = 2\) or \(y + 14 = -2\);
\(y = -12\) or \(y = -16\);
Therefore, the sum of all possible values of \(y\) is \(-12 + (-16) = -28.\)
Answer: A
If \(22 - |y + 14| = 20\), what is the sum of all possible values of y ?
A. \(-28\)
B. \(-16\)
C. \( -12\)
D. \(-4\)
E. \(4\)
\(22 - |y + 14| = 20\);
\(|y + 14| = 2\);
\(y + 14 = 2\) or \(y + 14 = -2\);
\(y = -12\) or \(y = -16\);
Therefore, the sum of all possible values of \(y\) is \(-12 + (-16) = -28.\)
Answer: A
