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If a, b, and c are positive integers satisfying ab + c = bc + a = 13  and ac + b = 41, what is the value of a + b + c?

 Nov 16, 2021
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Hello Guest,

 

If a, b, and c are positive integers satisfying ab + c = bc + a = 13  and ac + b = 41, what is the value of a + b + c?

 

There are 2 solutions for \(a , b , c \in \mathbb{Z}\) , namely:

 

S1: a = 5 ; b = 1 ; c = 8 and

S2: a = 8 ; b = 1 ; c = 5 .

 

The value (a + b + c) for S1 and btw. S2 is (5 + 1 + 8 =) 14.

 

The answer is 14.

 

Hope that was helpful. ^^

 

Straight

 Nov 16, 2021

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