If x+y=10 and x+z=20 and y+z=24 then
what is x+y+z=?

Answer

27

X+Y=10
Y=10-X Use this to substitute for Y
X+Z=20
Z=20-X Use this to substitute for Z.
Y+Z=24 Substitute for Y and Z
(10-X)+(20-X)=24
30-2X=24
-2X=-6
X=3
X+Y=10 Put in value for X.
3+Y=10
Y=7
X+Z=20 Plug in value for X.

3+Z=20
Z=17
CHECK:
Y+Z=24
7+17=24
24=24
X+Y+Z=?
3+7+17=?
27=?
ANSWER: The sum X+Y+Z=27

If x+y=10 and x+z=20 and y+z=24 then
what is x+y+z=?

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