Răspuns: 172
Explicație pas cu pas:
n : 18 = c₁ rest 10 ⇒ n = 18 × c₁ + 10 l + 8 ⇒ n + 8 = 18 × ( c₁ + 1 )
n : 20 = c₂ rest 12 ⇒ n = 20 × c₂ + 12 l + 8 ⇒ n + 8 = 20 × ( c₂ + 1 )
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⇒ n + 8 = c.m.m.m.c al numerelor 18 si 20
18 = 2 × 3²
20 = 2² × 5
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c.m.m.m.c al numerelor 18 si 20 = 2² × 3² × 5 = 180
⇒ n + 8 = 180 ⇒ n = 180 - 8 ⇒ n = 172 → numarul ( deimpartitul)
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Verific:
172 : 18 = 9 rest 10
172 : 20 = 8 rest 12
