Question

Paul and Michael thought of the same number. They multiplied the number by 6 and then increased the product by 6 for a final result of -60 . Of what number were they thinking?

Answer 1

Paul and Michael were thinking of the number -11.

Step-by-step explanation:

To find the number Paul and Michael were thinking of, we can set up an equation. Let's call the number x. According to the information given, multiplying the number by 6 and then increasing the product by 6 gives us -60. So, we can write the equation as 6x + 6 = -60.

To solve this equation, we can start by subtracting 6 from both sides: 6x = -66. Then, we divide both sides by 6 to isolate x: x = -11.

Therefore, Paul and Michael were thinking of the number -11.

Answer 2

The unknown number that Paul and Michael thought of was -11. They multiplied it by 6 and added 6 to get a final result of -60, and by reversing these operations, we can find that x equals -11.

Step-by-step explanation:

Step-by-Step Solution

Let's denote the unknown number that Paul and Michael thought of as x. Following the statement, they multiplied this number by 6 and then added 6. They ended up with -60 as the final result. We can write this process as an equation:

6x + 6 = -60

To find the number, we first need to isolate x by subtracting 6 from both sides of the equation:

6x = -60 - 6

6x = -66

Now, we can divide both sides by 6 to solve for x:

x = -66 / 6

x = -11

Therefore, the number that Paul and Michael thought of was -11.