Question

Daca copiii dintr-o tabara se grupeaza cate 5 cate 8sau cate 12, atunci raman de fiecare data 2 copii in afara grupului.Determinati numarul minim de copii din tabara

Answer 1

n:5=C1,r2=>n=5•C1+2/-2
n:8=C2,r2=>n=8•C2+2/-2
n:12=C3,r2=>n=12•C3+2/-2

n-2=5•C1 5=5
n-2=8•C2 8=2la puterea 3
n-2=12•C3 12=3•2la puterea2
___________
[5,8,12]=5•3•2la puterea 3
=5•8•3
=40•3
=120
k=120•n+2,k€N*
k=1=>120•1+2=122
k=2=>120•2+2=242
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