Răspuns: 299 → numarul
Explicație pas cu pas:
n : 18 = c₁ rest 11 ⇒ n - 11 = 18 × c₁
n : 24 = c₂ rest 11 ⇒ n - 11 = 24 × c₂
n : 32 = c₃ rest 11 ⇒ n - 11 = 32 × c₃
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⇒ n - 11 = c.m.m.m.c. al numerelor 18, 24 si 32
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18 = 2 × 3²
24 = 2³ × 3
32 = 2⁵
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c.m.m.m.c.al numerelor 18, 24 si 32 = 2⁵ x 3² = 288
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n - 11 = 288 ⇒ n = 288 + 11 ⇒ n = 299 → numarul
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Verific:
299 : 18 = 16 rest 11
299 : 24 = 12 rest 11
299 : 32 = 9 rest 11
