Question

One number is 9 more than another number, and the sum of the two numbers is 35.

Answer 1

Answer:

One number = x

Other number = 9 + x

Sum of the numbers = 35

Value of the smaller number (x) = ?

$9 + x + x = 35 \\ 9 + 2x = 35 \\ 2x = 35 - 9 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13$

➟ The value of the smaller number is 13

Answer 2

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 $x$, you will now get the two numbers $x$ and $x + 9$ (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 $x + (x+9)=35$. The steps to solve the equation will be the following: $x + (x+9)=35$ ⇒ $x + x + 9 = 35$ ⇒ $2x+9=35$ ⇒ $2x = 26$ ⇒ $x=13$. Since the variable $x$ was originally set to represent the smaller number out of the two, that means the value of the smaller number would be 13.