Răspuns:
Explicație pas cu pas:
8.
n = 11C1 + 6
n = 18C2 + 6
n = 45C3 + 6
n - 6 = 11C1
n - 6 = 18C2
n - 6 = 45C3
calculam cmmmc pentru 11, 18 si 45
11 = 11
18 = 2*3^2
45 = 3^2*5
cmmmc = 11*2*3^2*5 = 990
n - 6 = 990
n = 996
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10b)
n = 21C1 + 11
n = 25C2 + 15
n + 10 = 21C1 + 11 + 10 = 21C1 + 21 = 21(C1 + 1)
n + 10 = 25C2 + 25 = 25(C2 + 1)
determinam cmmmc pentru 21 si 25
21 = 3*7
25 = 5^2
cmmmc = 3*7*5^2 = 525
n + 10 = 525
n = 515
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10c)
n = 24C1 + 15
n = 36C2 + 27
n + 9 = 24C1 + 15 + 9 = 24C1 + 24 = 24(C1 + 1)
n + 9 = 36C2 + 27 + 9 = 36C2 + 36 = 36(C2 + 1)
24 = 2^3*3
36 = 2^2*3^2
cmmmc = 2^3*3^2 = 72
n + 9 = 72
n = 72 - 9 = 63
