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.

Step-by-step 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.