# Algebra

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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.

• Algebra -

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

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