fie a,b cele 2 numere
2*a+3*b=2488
[tex](a-2): \frac{b}{4} =3[/tex]
=> [tex]a-2=3* \frac{b}{4} [/tex]=>
=>[tex]a-2= \frac{13}{4} [/tex] b
=>[tex]a= \frac{3}{4}b+2[/tex]
2*a+3*b=2488
=> [tex] 2* \frac{3}{4}*b+2*2+3b=2488[/tex]
=>[tex] \frac{3}{2}*b+4+ \frac{6}{2} *b=2488[/tex]
=> [tex] \frac{9}{2} *b=2488-4[/tex]
=> [tex]b=2484* \frac{2}{9} [/tex]
=> b=276*2
=> b=552
[tex]a= \frac{3}{4}*b+2[/tex]
=> [tex]a= \frac{3}{4} *552+2[/tex]
=> a=414+2
=> a=416
Deci, numerle sunt: a=416 si b=552
