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Aflati numerele a,b,c, stiind ca a+b=c, a-b=b si b+c=32. Dau Coroană

Răspuns :

a+b=c

a-b=b=>a=2b

b+c=32

a+b=c<=>3b=c

b+c=32<=>4b=32=>b=8

c=3b=3*8=24

a=2b=2*8=16

a+b=c

a-b=b

a=2b

b+c=32

2b+b=c

3b=c

b+3b=32

4b=32

b=32:4

b=8

a=2×8

a=16

c=8×3

c=24