Suma a doua numere este 53/6, iar diferenta lor este 26/6.Aflati numerele.


Răspuns :

facem sistem 

a+b=[tex] \frac{53}{6} [/tex]
a-b=[tex] \frac{26}{6} [/tex]

[tex] \left \{ {{6a+6b=53} \atop {6a-6b=26}} \right. [/tex]
-------------------------------------------------------(+)
12a   /=79 
a=[tex] \frac{79}{12} [/tex]

[tex] \frac{79}{12} -b= \frac{23}{6} [/tex]
[tex]b= \frac{79}{12} - \frac{23}{6} = \frac{33}{12} = \frac{11}{4} [/tex]