Question

the difference of two numbers is 9. if the larger number is one more than twice the smaller number. find the larger number

Answer 1

The larger number is 17.

Explanation:

Let x denote the larger number.

Let y denote the smaller number.

From the question, we have,

$x-y=9$ and

$x=1+2y$

Let us determine the value of y, using substitution method.

Substituting $x=1+2y$ in the equation $x-y=9$, we have,

$1+2y-y=9$

       $1+y=9$

             $y=8$

Thus, the value of the smaller number is 8.

Substituting $y=8$ in the equation $x=1+2y$, we have,

$x=1+2(8)$

$x=1+16$

$x=17$

Thus, the larger number is 17.