Răspuns: 103
Explicație pas cu pas:
Notez numarul cu ,,n"
n : 15 = c₁ rest 13 ⇒ n = 15 × c₁ + 13 ⇒ n - 13 = 15 × c₁
n : 30 = c₂ rest 13 ⇒ n = 30 × c₂ + 13 ⇒ n - 13 = 30 × c₂
n : 45 = c₃ rest 13 ⇒ n = 45 × c₃ + 13 ⇒ n - 13 = 45 × c₃
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⇒ n - 13 = c.m.m.m.c. al numerelor 15, 30 si 45
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15 = 3 x 5
30 = 2 x 3 x 5
45 = 3² x 5
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c.m.m.m.c al numerelor 15, 30 si 45 = 2 x 3² x 5 = 90
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n - 13 = 90 ⇒ n = 90 + 13 ⇒ n = 103 → deimpartitul ( numarul )
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Verific:
103 : 15 = 6 rest 13
103 : 30 = 3 rest 13
103 : 45 = 2 rest 13
