What two numbers have a product of 80 and a quotient of 45?


Here is how to get the answer to "What two numbers have a product of 80 and a quotient of 45?" We show you step-by-step how find the answer so you can solve problems like this on your own in the future.

We will call the two numbers we are looking for x and y, and we will start by making two equations like this:

Equation 1: Two numbers have a product of 80, means:

x • y = 80

Equation 2: Two numbers have a quotient of 45, means:

x / y = 45
x = 45y

Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 80 with 45y, like this:

x • y = 80
45y • y = 80
y = 1.333333

Finally, since y = 1.333333, we put 1.333333 into Equation 1 by substituting y in x • y = 80 with 1.333333, like this:

x • 1.333333 = 80
x = 60

Thus, the answer is "1.333333 and 60" as illustrated here:

60 • 1.333333 = 80

60 / 1.333333 = 45


Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.


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