In the figure above, if x, y, and z are integers and x

Question

https://gmatclub.com/forum/download/file.php?id=55801 In the figure above, if x, y, and z are integers and x < y + z, then what is the greatest possible value of x ? A. 80 B. 89 C. 90 D. 91 E. 179 1.jpg

Bunuel · Answer

Similar question to practice: https://gmatclub.com/forum/in-the-figur ... 47115.html

v12345 · Answer

If x = 90, then y + z = 90. Not possible
If x > 90, then y + z < 90. Not possible
Hence, x should be less than 90, maximum possible value is 89.
OA is (B).

satya2029 · Answer

X<Y+Z
X<180-X
2X<180
X<90
Xmax=89
B:)

NitishJain · Answer

IMO  B

Given: x < y + z
find: max(x).

For x to be max, y+z needs to be min.

Let z =1

x + y + z =180
x +y+1= 180
 or x+ y = 179

For x to be max, y needs to be min keeping in mind x < y + z
making y= 90 we get x = 89 .

Putting x,y,

In the figure above, if x, y, and z are integers and x < y + z, then

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