Question

translate each sentence into an equation and solve it. if 12 times a number is added to twice the number, the result is 56

Answer 1

Let x be a number.

12 times a number can be represented as 12x, and twice the number can be represented as 2x. If 12 times a number is added to twice a number, that phrase can be represented as 12x+2x. Furthermore, if the result is 56, then the complete sentece can be written as:

`12x+2x=56`

To solve the equation, add 12x+2x:

`\begin{gathered} 12x+2x=56 \\ \Rightarrow14x=56 \end{gathered}`

Divide both sides by 14:

`\begin{gathered} \Rightarrow(14x)/(14)=(56)/(14) \\ \therefore x=4 \end{gathered}`

Therefore, such a number is 4.