Răspuns:
{a,b} d .p {2,3}
[tex] \frac{a}{2} = \frac{b}{3} = k[/tex]
a+b=20
[tex] \frac{a}{2} = k \: \: \: a = 2k[/tex]
[tex] \frac{b}{3} = k \: \: \: \: b = 3k[/tex]
[tex]2k + 3k = 20[/tex]
[tex]5k = 20[/tex]
[tex]k = 20 \div 5[/tex]
[tex]k = 4[/tex]
[tex]a = 4 \times 2[/tex]
[tex]a = 8[/tex]
[tex]b = 4 \times 3[/tex]
[tex]b = 12[/tex]
Verificare:
a+b=20
8+12=20
