Fie x, y - cele doua numere
Din enuntul problemei avem ca:
[tex] \left \{ {{x+y=330} \atop {x=6y+36}} \right. [/tex]⇔
[tex] \left \{ {{x+y=330} \atop {x-6y=36 \ | \ * \ (-1)}} \right. [/tex]⇒
[tex] \left \{ {{x+y=330} \atop {-x+6y=-36}} \right. [/tex]⇒
[tex]7y=294[/tex]⇒[tex]y= \frac{294}{7} [/tex]⇒[tex]y = 42[/tex]
[tex] \left \{ {{x=330-y} \atop {y=42}} \right. [/tex]⇒
[tex]x=330-42[/tex]⇒ [tex]x=288[/tex]
Asadar: [tex]x-y=288-42[/tex]⇒[tex]x-y=246[/tex]
