Final answer:
To find Elise's original number, we set up an equation based on her statement, solve it by reversing the operations she described, ultimately determining that her number is 23.
Step-by-step explanation:
Elise states that when you subtract 16 from her number and then multiply the difference by -5, you get -35. To find Elise's original number, we can set up an equation based on this information.
Let's denote Elise's number as x. The equation will therefore be: (x - 16) × -5 = -35. To solve for x, we will perform the following steps:
Divide both sides of the equation by -5 to get x - 16 = 7.
Add 16 to both sides to get x = 7 + 16.
Therefore, x = 23. This is Elise's number.
Elise's number is 23.