Răspuns:
Explicație pas cu pas:
36=3²*2³
45=3²*5
.....................
cmmdc=3²=9
cmmmc= 3²*2³*5=9*8*5=360
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n=numarul cautat
n:4=C₁+1
n:5=C₂+1
n:6=C₃+1
n= 4C₁+1
n=5C₂+1
n= 6C₃+1
n-1=4C₁
n-1=5C₂
n-1=6C₃
cmmmc= (4,5,6)
4=2²
5=5
6=2*3
....................
cmmmc= 2²*5*3
cmmmc= 4*5*3
cmmmc=60
n-1=60
n= 60+1
n=61 ( numarul cautat)
K= constanta
a=2K
b= 10K
c= 12 K
2K+10K+12K=96
24K=96
K=96:24
K= 4
a= 2K=2*4=8
b=10K=10*4=40
C=12K=12*4=48
(8*100)/40=800:40= 20 %
