Question

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?A 4B. -2C -1D. 1

Answer 1

You need to know the following:

1. The "difference" is the result of a subtraction.

2. The word "times" indicates a multiplication.

3. The sum is the result of an addition.

Let be "n" the number mentioned in the exercise.

Knowing the explained above, you know that "the difference of a number and 6" can expressed as:

`n-6`

And "5 times the sum of the number and 2" can be expressed as:

`5(n+2)`

Therefore, "the difference of a number and 6 is the same as 5 times the sum of the number and 2" can be written as the following equation:

`n-6=5(n+2)`

Now, in order to find the number, you must solve for "n":