Question

exiista 5 numere naturale consecutive cu suma 1005 ?justificati

Answer 1

 nr.consecutive sunt:a,a+1,a+2,a+3,a+4
a+a+1+a+2+a+3+a+4=1005
5a+10=1005
5a=1005-10
5a=995
a=995/5
a=199
nr.consecutive sunt: 199, 200, 201, 202, 203
199+200+201+202+203=1005

Answer 2

a+(a+1)+(a+2)+(a+3)+(a+4)=1005
5a+10=1005
5a=1005-10
5a=995
a=995:5
a=199 (I numar)
a+1=200(al II-lea numar)
a+2=201(al III-lea numar)
a+3=202(al IV-lea numar)
a+4=203(al V-lea numar)
Verificare:199+200+201+202+203=1005