Question

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

What is the value of the smaller number?

Answer 1

The value of the smaller number would be 13.

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.

Answer 2

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 = (26)/(2) \\ x = 13`

➟ The value of the smaller number is 13