Question : x, y, and z are 3 values, such that x + y = 12, y + z = 17 and z + x = 19. What is the average of x, y, and z?
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 4
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Correct Answer: 8
Solution :
Given: x + y = 12............(equation 1)
y + z = 17............(equation 2)
z + x = 19............(equation 3)
Adding all equations, we get:
x + y + y + z + z + x = 12 + 17 + 19
⇒ 2(x + y + z) = 48
⇒ x + y + z = 24
Average of x, y, and z = $\frac{\text{Sum of x,y, and z}}{3}$ = $\frac{24}{\text{3}}$ = 8
Hence, the correct answer is 8.
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