Suppose a,b,c are distinct integers. Define a new set of integers, called the "sugmented set of { a,b,c }" by constructing {ab+c, ac+b, bc+a, a(b+c), b(a+c), c(a+b)}. What set {a,b,c} has its augmented set {25,29,79,36,91,99}?
Find a new set of integers.?
ab+bc=91
ab+c=25
therefore bc-c=66
c(b-1)=66
c=11 or 6
b= 12 or 7
If c = 11, then b = 7, and a = 2 (ab+c=25 =%26gt; 7a+11=25)
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