Respuesta :
The larger number is 17.
Explanation:
Let x denote the larger number.
Let y denote the smaller number.
From the question, we have,
[tex]x-y=9[/tex] and
[tex]x=1+2y[/tex]
Let us determine the value of y, using substitution method.
Substituting [tex]x=1+2y[/tex] in the equation [tex]x-y=9[/tex], we have,
[tex]1+2y-y=9[/tex]
[tex]1+y=9[/tex]
[tex]y=8[/tex]
Thus, the value of the smaller number is 8.
Substituting [tex]y=8[/tex] in the equation [tex]x=1+2y[/tex], we have,
[tex]x=1+2(8)[/tex]
[tex]x=1+16[/tex]
[tex]x=17[/tex]
Thus, the larger number is 17.
