AMC 12B 2002 Problem 19

Past Contests AMC 12 AMC 12B - 2002
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1

If a, b, and c are positive real numbers such that a(b+c)=152, b(c+a)=162, and c(a+b)=170, then a b c is

Answer Choices
A. 672
B. 688
C. 704
D. 720
E. 750