suma a doua numere este 23 pe 4,iar diferenta lor este 5 pe 4. aflati numerele

a+b=23/4
a-b=5/4
Le adunam:
2a=28/4
a=7/2
b=9/4

a+b=[tex] \frac{23}{4} [/tex] 
a-b=[tex] \frac{5}{4} [/tex]=>  a=b+[tex] \frac{5}{4} [/tex]=a=[tex] \frac{4b+5}{4} [/tex]
a+b=[tex] \frac{4b+5}{4} +b= \frac{8b+5}{4} = \frac{23}{4} =\ \textgreater \ 8b+5=23=\ \textgreater \
8b=18/8+b= \frac{9}{4} [/tex]
a+b=[tex] a+\frac{9}{4} = \frac{23}{4}=\ \textgreater \ a= \frac{14}{4} ==\ \textgreater \ a= \frac{7}{2} [/tex]