Question

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

Answer 1

Answer:

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

Step-by-step 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.