a + b + c = 255
b : a = 2 rest 1 ⇒ b = 2 × a + 1
c : b = 3 rest 8 ⇒ c = 3 × b + 8 = 3 × ( 2 a + 1 ) + 8 = 6 a + 11
___________________________________________
a + b + c = 255
a + ( 2 a + 1 ) + ( 6 a + 11 ) = 255
9 a + 12 = 255
9 a = 255 - 12
9 a = 243
a = 243 : 9 ⇒ a = 27
b = 2 × 27 + 1 ⇒ b = 55
c = 3 × 55 + 8 ⇒ c = 173
Verific:
27 + 55 + 173 = 225
