Răspuns:
abc = 121, 132, 143, 154, 165, 176, 187, 198
Explicație pas cu pas:
b x ac = c x ab + 10
b x ( 10 a + c) = c x ( 10 a + b) + 10
10 ab + bc = 10 ac + bc = 10
10 ab + bc - 10 ab - bc = 10
10 ab - 10 ac = 10
10 a ( b - c) = 10 / : 10
a ( b - c) = 1
a, b, c diferite de 0
daca a = 1, b = 2, c = 1 abc = 121
daca a = 1, b = 3 , c = 2, abc - 132
daca a = 1, b = 4, c = 3, abc = 143
daca a = 1, b = 5, c = 4, abc = 154
daca a - 1, b = 6, c = 5, abc = 165
daca a - 1, b = 7, c = 6, abc = 176
daca a = 1, b = 8, c = 7, abc = 187
daca a = 1, b = 9, c = 8, abc = 198
