Question

Tyler says he invented a number puzzle. He asks clare to pick a number, and asks her to do the following:

• triple the number

• subtract 7

• double the result

• subtract 22

• divide by 6

Clare says she now has a -3. Tyler says her original number must have been 3. How did Tyler know that?

Answer 1

E

Explanation:

Answer 2

Set up an equation to see how this makes sense.
Let X be your original number.

So...
2(3x-7)-22/6=-3
6x-14-22/6=-3
6x-36/6=-3
6x-36=-18
6x=18
X=3