Question

Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the

number?

Answer 1

The number is 135.

Explanation:

1) Form an equation

Three is subtracted from a number

⇒
`x-3` (where x is "the number")

The difference is divided by 11

⇒
`\displaystyle (x-3)/(11)`

The result is 12

⇒
`\displaystyle (x-3)/(11)=12`

2) Solve the equation

`\displaystyle (x-3)/(11)=12`

Multiply both sides by 11

`\displaystyle (x-3)/(11)*11=12*11\\\\x-3=132`

Add 3 to both sides

`x-3+3=132+3\\x=135`

Therefore, the number is 135.

I hope this helps!