Question

A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.

Answer 1

The first number is 18 and the second number is 27.

Explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be
`x.`

And the first number be
`x-9.`

The sum of the both numbers is 45.

According to question:

`(x-9)+x=45.`

⇒
`x-9+x=45.`

⇒
`2x-9=45.`

Adding both sides by 9 we get:

⇒
`2x=54.`

Dividing both sides by 2 we get:

⇒
`x=27.`

The second number = 27.

Now, to get the first number we put the value of
`x`:

`x-9`

`=27-9`

`=18.`

Therefore, the first number is 18 and the second number is 27.