a加b加c等于10,a除以b等于6,a除以c等于7,abc各多少?

题目

a加b加c等于10,a除以b等于6,a除以c等于7,abc各多少?

答案

a=6b,a=7c,b=a/6,c=a/7
a+b+c=a+a/6+a/7= a(1+1/6+1/7)=a*55/42=10
a=10*42/55=84/11
b=a/6=14/11
c=a/7=12/11