Fie numerele a si b
a = b + 56
( a + b ) : ( a - b ) = 23 rest 14
a + b = 23 × ( a - b ) + 14
b + 56 + b = 23 × ( b + 56 - b ) + 14
2 × b + 56 = 23 × 56 + 14
2 × b = 1 288 + 14 - 56
2 × b = 1 246
b = 1 246 : 2
b = 623 → al doilea numar
a = 623 + 56
a = 679 → primul numar
Verific: ( 679 + 623) : ( 679 - 623) =1 302 : 56 = 23 rest 14