Question

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers ( enter your answers as comma-separated list)

Your answer should be in the form of expression

Answer 1

-15 -75 are the answers hope that helps :)

Answer 2

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.