Question

The sum of two numbers is 32. When 5 is subtracted from four times one of the numbers, find the difference between the two numbers.

Answer 1

The difference between the two numbers is -5.

Step-by-step explanation:

Let's denote the two numbers as x and y. We are given that the sum of the two numbers is 32, so we can write the equation x + y = 32.

We are also given that when 5 is subtracted from four times one of the numbers, the result is the difference between the two numbers.

We can write this equation as 4x - 5 = x - y.

To find the difference between the two numbers, we can subtract the equation x + y = 32 from the equation 4x - 5 = x - y.

This gives us 3x - y - 5 = 0.

We can rearrange this equation to isolate the difference between the two numbers, which gives us y - 3x = -5.

Therefore, the difference between the two numbers is -5.