Answer:
So, the two numbers are -15 and -75, which can be expressed as (-15, -75) in a comma-separated list.
Step-by-step explanation: Let's call the two numbers x and y, where x is the larger number, and y is the smaller number. According to the information given:
x is 1/5 of y: This can be expressed as x = (1/5)y.
The difference between the two numbers is 60: This can be expressed as x - y = 60.
Now, we can set up a system of equations using these two pieces of information:
Equation 1: x = (1/5)y
Equation 2: x - y = 60
Now, let's solve this system of equations to find the values of x and y:
First, substitute the expression for x from Equation 1 into Equation 2:
(1/5)y - y = 60
To clear the fraction, you can multiply both sides of the equation by 5:
y - 5y = 300
Now, combine like terms:
-4y = 300
Next, divide both sides by -4 to isolate y:
y = -300 / 4
y = -75
Now that we have found the value of y, we can find x using Equation 1:
x = (1/5)y
x = (1/5)(-75)
x = -15
So, the two numbers are -15 and -75, which can be expressed as (-15, -75) in a comma-separated list.