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suma a trei numere naturale condecutive pare este 168. determinati numerele.

 

 



Răspuns :

a+b+c=168

a=2k+2
b=2k+4
c=2k+6

2k+2+2k+4+2k+6=168

6k+12=168

6k=168-12

6k=156

k=26

a=2*26+2=52+2=54
b=2*26+4=52+4=56
c=2*26+6=52+6=58
a.I_____I
b.I_____I+2
c.I_____I+2+2

Suma este 168 . Aflam suma partilor egale .
 168-6=162
 162:3=54 ( a )
  54+2=56 ( b )
  54+4=58 ( c )

Verificare : 54+56+58=168