Question

When a number is added to 20 and 5 is subtracted from the number, their product is 150. Find the two possible numbers.

A) 15 and 25
B) 10 and 30
C) 5 and 30
D) 3 and 33

Answer 1

The two possible numbers are 32.5 and -32.5.

Step-by-step explanation:

Let's call the number x.

The problem states that when x is added to 20 and 5 is subtracted from x, their product is 150.

Using algebra, we can write this as an equation: x + 20 - 5x = 150.

Simplifying the equation, we get: 20 - 4x = 150.

Next, we isolate the variable by subtracting 20 from both sides: -4x = 130.

Dividing both sides by -4, we find that x = -32.5.

Since the question requests two possible numbers, we need to consider both positive and negative values of x. Therefore, the two possible numbers are 32.5 and -32.5.