Question

xy=24 yz=15 zx=40 x+y+z=16 find the value of x , y, z​

Answer 1

Answer:

x = 8

y = 3

z = 5

Step-by-step explanation:

xy = 24 ...(1)

yz = 15 ...(2)

zx = 40 ...(3)

Multiplying (1),(2) and (3),

x²y²z² = 14400

Taking square root, xyz = 120 ...(4)

[NOTE: We didn't take the negative square root because x,y,z are positive and their sum is positive.]

Divide (4) by (2), x = 8

Divide (4) by (3), y = 3

Divide (4) by (1), z = 5