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?
+677 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
