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Afla suma a+b+c, stiind ca sunt indeplinite simultan urmatoarele conditii: a+b=222444, b+c=174013 , a+c= 203543 .

Răspuns :

a+b = 222 444
b+c = 174 013
a+c = 203 543

adunam cele 3 relatii
2×(a+b+c) = 222 444 + 174 013+203 543
2×(a+b+c) = 600 000
a+b+c = 600 000 : 2
a+b+c = 300 000 (suma)
a+b+b+c+a+c=2a+2b+2c= 222444+174013+203543= 600000
a+b+c=600000:2
a+b+c=300000
a=300000-174013
a=125987
b=300000-203543
b=96457
c=300000-222444
c=77556