Answer: 14
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Explanation:
The two pieces XY and YZ add to segment XZ
XY + YZ = XZ
(2x+3) + (3x-1) = 27
2x+3 + 3x-1 = 27
(2x+3x) + (3-1) = 27
5x+2 = 27
5x = 27-2
5x = 25
x = 25/5
x = 5
Then,
- XY = 2x+3 = 2*5+3 = 10+3 = 13
- YZ = 3x-1 = 3*5-1 = 15-1 = 14
As a check: XY + YZ = 13+14 = 27 which confirms the answer.
