Question

Determina numerele naturale m,n,p,r si s ,asaza-le in ordine descrescatoare ,stiind ca acestea indeplinesc simultan conditiile:m+n=12,m+p=14,m+r=16,m+s=18 si n+p+r+s=42.

Answer 1

m+n=1
m+p=14
m+r=16
m+s=18
__________________+adunam toate
4m+n+p+s+r=12+14+16+18
4m+42=50
4m=50-42
4m=8
m=8:4
m=2
m+n=12=>n=12-2=10
m+p=14=>p=14-2=12
m+r=16=>r=16-2=14
m+s=18=>s=18-2=16
2,10,12,14,16 adica descrescator este 16,14,12,10,2 adica s,r,p,n,m