Question

What is Peter's number?

If you subtract 12 from my number and multiply the difference by -3, the result is -54

Answer 1

To find Peter's number, you need to solve the equation (-3)(x - 12) = -54.

The solution is x = 30.

Step-by-step explanation:

Let's call Peter's number 'x'.

According to the problem, when 12 is subtracted from Peter's number, the difference is multiplied by -3, resulting in -54.

So, the equation would be: (-3)(x - 12) = -54.

Now, let's solve this equation step by step:

1. Distribute -3 to the terms inside the parentheses: -3x + 36 = -54
2. Isolate the variable by subtracting 36 from both sides: -3x = -90
3. Divide both sides of the equation by -3 to solve for x: x = -90 / -3 = 30

Therefore, Peter's number is 30.