Question

Fourteen less than five time a number is twelve more than three times a number . Find the number.

Answer 1

In order to solve this exercise, you need to remember the following:

- The word "less" indicates subtraction.

- The word "times" indicates multiplication.

- The word "more" indicates addition.

- In this case, the word "is" indicates that the sign is "=".

Let be "n" a number.

Knowing the above, you can determine that "Fourteen less than five times a number" can be expressed as:

`5n-14`

And you know that " Twelve more than three times a number" can be expressed as following:

`3n+12`

Therefore, "Fourteen less than five times a number is twelve more than three times a number" can be written as the following equation:

`5n-14=3n+12`

Solve for "n" in order to find the number. Then, this is:

`\begin{gathered} 5n-3n=12+14 \\ 2n=26 \\ \\ n=(26)/(2) \\ \\ n=13 \end{gathered}`

The number is:

`n=13`