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Suma a doua numere este 5/6 iar diferenta este 1/6. Aflati numerele

Răspuns :

[tex]a+b=\frac{5}{6}[/tex]

[tex]a-b=\frac{1}{6}[/tex]

[tex]2a=\frac{5}{6}+\frac{1}{6}[/tex]

[tex]2a=\frac{6}{6}[/tex]

[tex]2a=1[/tex]

[tex]a=\frac{1}{2}[/tex]

[tex]b=\frac{5}{6}-\frac{1}{2}[/tex]

[tex]b=\frac{5-3}{6}[/tex]

[tex]b=\frac{2}{6}=\frac{1}{3}[/tex]


a+b=5/6
a=5/6-b
a-b=1/6
5/6-b-b=1/6
-b-b=1/6-5/6
-2b=-4/6 |:(-2)
b=4/12
a=5/6-b
a=5/6-4/12
a=10/12-4/12
a=6/12