If x, y, z are three integers such that x + y = 8, y + z = 13 and z + x = 17, then the value of $\frac{x^2}{yz}$ is:
Answer & explanation
Correct answer: option 2
x + y = 8
y + z = 13
z + x = 17
———————————
2( x + y + z) = 38
x + y + z = 19
Now ,
(x + y + z ) - (x + y) = 19 - 8
z = 11
(x + y + z ) - (z + y) = 19 - 13
x = 6
(x + y + z ) - (x + z) = 19 - 17
y = 2
$\frac{x^2}{yz}$ = $\frac{6^2}{2 \times 111}$ = \(\frac{36}{22}\)
$\frac{x^2}{yz}$ = $\frac{18}{11}$