Answer:
The value of the smaller number would be 13.
Step-by-step explanation:
There are two numbers, one that is greater by 9 than the other. In order to find the values of the two numbers, set the smallest number as the variable [tex]x[/tex], you will now get the two numbers [tex]x[/tex] and [tex]x + 9[/tex] (This represents the second number that is greater than the first number by 9). Since these two values add up to 35, you can now make the equation [tex]x + (x+9)=35[/tex]. The steps to solve the equation will be the following: [tex]x + (x+9)=35[/tex] ⇒ [tex]x + x + 9 = 35[/tex] ⇒ [tex]2x+9=35[/tex] ⇒ [tex]2x = 26[/tex] ⇒ [tex]x=13[/tex]. Since the variable [tex]x[/tex] was originally set to represent the smaller number out of the two, that means the value of the smaller number would be 13.
