Question

x+y=12, y+z=15, x+z=18
x+y+z=??​

Answer 1

Answer:

22.5

Step-by-step explanation:

add all three

x+y+y+z+x+z= 12+15+18

2×(x+y+z) = 45

x+y+z = 45/2 = 22.5

Answer 2

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x + y = 12 .....(1)

y + z = 15 .....(2)

x + z = 18 ....(3)

Subtracting (2) from (1), we get:

x - z = -3 ....(4)

Adding (3) and (4), we get:

2x = 15

x = $\sf\dfrac{15}{2}$ or 7.5

Substituting in (1),

y = 4.5 or $\sf\dfrac{9}{2}$

Substituting value of y in (2), we get:

z = 10.5 or $\sf\dfrac{21}{2}$

x + y + z = 22.5

Hope it helps.