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If ABC is a straight line as shown in the figure below, and the angles
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22 Sep 2021, 02:49
22 Sep 2021, 02:49
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Question Stats:
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If ABC is a straight line as shown in the figure below, and the angles x & y are integer multiples of 20, what is the value of x?
screenshot.124.jpg [ 17.37 KiB | Viewed 3046 times ]
A. 20
B. 40
C. 60
d. 80
E. 100
Source: manhattanreview
Attachment:
screenshot.124.jpg [ 17.37 KiB | Viewed 3046 times ]
A. 20
B. 40
C. 60
d. 80
E. 100
Source: manhattanreview
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: If ABC is a straight line as shown in the figure below, and the angles
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22 Sep 2021, 08:05
22 Sep 2021, 08:05
1
\(2x+3y=180\)
factor of 20 should be distributed to LHS and RHS (left and right hand sides) of the above expression, rewritten as \(2x+2y=180-y\), \(x+y=90-y/2\). Notice that x and y are still divisible by 20, but 90 is not divisible by 20. For 90 to be divisible by 20, it must be reduced to either 80, 60, 40 or 20
Let's pick 80 as RHS value of \(x+y=90-y/2\), then \(90-y/2=80\) and y=20
When y=20 along with \(x+y=80\), x=60. Hence, x=60 and y=20
**
If we pick 60 as nextRHS value of \(x+y=90-y/2\), then \(90-y/2=60\) and y=60
When y=60 along with \(x+y=60\), x=0. Hence, x=0 and y=60 REJECT
**
Answer is C
Note: the additional solution between two up and down stars helps if the question is conversed into QC type.
factor of 20 should be distributed to LHS and RHS (left and right hand sides) of the above expression, rewritten as \(2x+2y=180-y\), \(x+y=90-y/2\). Notice that x and y are still divisible by 20, but 90 is not divisible by 20. For 90 to be divisible by 20, it must be reduced to either 80, 60, 40 or 20
Let's pick 80 as RHS value of \(x+y=90-y/2\), then \(90-y/2=80\) and y=20
When y=20 along with \(x+y=80\), x=60. Hence, x=60 and y=20
**
If we pick 60 as nextRHS value of \(x+y=90-y/2\), then \(90-y/2=60\) and y=60
When y=60 along with \(x+y=60\), x=0. Hence, x=0 and y=60 REJECT
**
Answer is C
Note: the additional solution between two up and down stars helps if the question is conversed into QC type.
Carcass wrote:
If ABC is a straight line as shown in the figure below, and the angles x & y are integer multiples of 20, what is the value of x?
A. 20
B. 40
C. 60
d. 80
E. 100
Source: manhattanreview
Attachment:
screenshot.124.jpg
A. 20
B. 40
C. 60
d. 80
E. 100
Source: manhattanreview
Re: If ABC is a straight line as shown in the figure below, and the angles
[#permalink]
22 Sep 2021, 12:43
22 Sep 2021, 12:43
any easy solution to above problem.
