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One positive integer is two less than twice the other. The product of the two is 84. Find the integers

Respuesta :

LammettHash
[tex]x=2y-2[/tex]
[tex]xy=84[/tex]

Plug the first equation into the second to get

[tex](2y-2)y=2y^2-2y=84\implies 2y^2-2y-84=0\implies y^2-y-42=(y-7)(y+6)=0[/tex]

It's clear that both integers are positive, so it must be the case that [tex]y=7[/tex], which means [tex]x=12[/tex].

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