Question

abc+bca+cab=555 sa se rezolve ,va rog frumos!!!!!!

Answer 1

abc = 100a + 10b + c
bca = 100b + 10c + a
cab = 100c + 10a + b
________________ +
100(a + b + c) + 10(a + b + c) + 1(a + b + c) = 555 => (a + b + c)(100+ 10 + 1) = 555 => (a + b + c)*111 = 555 => a + b + c = 5.

a + b + c = 5

1 + 1 + 3 = 5
1 + 3 + 1 = 5
3 + 1 + 1 = 5
2 + 2 + 1 = 5
2 + 1 + 2 = 5
1 + 2 + 2 = 5
S = { (a; b ; c )} = { (1; 1; 3) ; (1 ;3 ; 1) ; (3; 1 ; 1) ; (2; 2; 1) ; (2; 1 ; 2) ; ( 1 ; 2 ; 2) }