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 [tex]x.[/tex]
And the first number be [tex]x-9.[/tex]
The sum of the both numbers is 45.
According to question:
[tex](x-9)+x=45.[/tex]
⇒ [tex]x-9+x=45.[/tex]
⇒ [tex]2x-9=45.[/tex]
Adding both sides by 9 we get:
⇒ [tex]2x=54.[/tex]
Dividing both sides by 2 we get:
⇒ [tex]x=27.[/tex]
The second number = 27.
Now, to get the first number we put the value of [tex]x[/tex]:
[tex]x-9[/tex]
[tex]=27-9[/tex]
[tex]=18.[/tex]
Therefore, the first number is 18 and the second number is 27.
