Algebra
posted by marissa.1274 .
if x, y, and z are positive numbers, with xy = 24, xz = 48, and yz = 72, what is x + y + x? please explain how you got tha answer too. thank you.

xz = 48
yz = 72
xy = 24
x = 4, y = 6, z = 12
x + y + z = 4 + 6 + 12 = 22
I did this manually, by trial an error
there must be an easier way ?
I am not a tutor
maybe a tutor will answer with an easier way