Question

Determinati numerele naturale a,b,c,stiind ca:
a+b=100
b+c=110
a+c=90

Urgent,va rog1Este pentru cls. A 5 A!

Answer 1

a+b=100
b+c=110
a+c=90
Adun cele trei relatii: a+b+b+c+a+c=100+110+90
deci 2a+2b+2c=200
2(a+b+c)=300
a+b+c=300:2
a+b+c=150 si a+b=100 Deci 100+c=150 deci c=150-100 deci c=50
b+c=110 si c=50 Deci b+50 =110 deci b=110-50 deci b=60
a+b=100 si b=60 Deci a+60=100 deci a=100-60 deci a=40.