SOLUTION: Let a, b, c, be positive real numbers. If ab=48, bc=96, and ac=72, what is the value of abc?

Algebra ->  Real-numbers -> SOLUTION: Let a, b, c, be positive real numbers. If ab=48, bc=96, and ac=72, what is the value of abc?      Log On


   

Question 95219: Let a, b, c, be positive real numbers. If ab=48, bc=96, and ac=72, what is the value of abc?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
%28cross%28b%29%2A%28c%29%29%2F%28%28a%29%2Across%28b%29%29=96%2F48=2
so c=2a
ac=a%2A2a=2a%5E2
2a%5E2=72
divide 2 into each sidea%5E2=36
take square root of both sides a=6 a=-6
Positive numbers are required so a=6 is an answer.
ac=6c=72
c=72/6=12
ab=6b=48
b=48/6=8
Check: bc=8*12=96
EdJones