A+B=52
A:B=6 rest 3
A=6xB+3
6xB+3+B=52
7xB=52-3
7xB=49
B=49:7
B=7
A=6x7+3
A=42+3
a=45
a + b = 52
a : b = 6 rest 3
a = 6 × b + 3 → teorema impartirii cu rest
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a + b = 52
( 6 × b + 3 ) + b = 52
7 × b = 52 - 3
b = 49 : 7 ⇒ b = 7 → numarul mic
a = 52 - 7 ⇒ a = 45 → numarul mare
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Metoda grafica
numarul mic l-----l } suma lor = 52
numarul mare l-----l-----l-----l-----l-----l-----l + 3
52 - 3 = 49 → suma celor 7 parti egale
49 : 7 = 7 → numarul mic ( valoarea unei parti / segment)
6 × 7 + 3 = 45 → numarul mare