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Determina numerele naturale a,b,c, cunoscand urmatoarele relatii dintre acestea:
a+b=34 560
a+c=28 760
b+c=36 680


Răspuns :

a+b=34 560
a+c=28 760
b+c=36 680
le adunam
a+b+a+c+b+c=34560+28760+36680

2a+2b+2c=100000
2(a+b+c)=100000
a+b+c=50000
a=50000-36680=13320
b=
50000-28760=21240
c=50000-34560=15440
34 560-28 760=5 800
36 680 : 2=18 340
18 340+5 800=24 140 (B)
18 340-5 800=12 540 (C)
28 760-12 540=16220 (A)