What two numbers have a product of 84 and a quotient of 32?

Here is how to get the answer to "What two numbers have a product of 84 and a quotient of 32?" 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 84, means:

x • y = 84

Equation 2: Two numbers have a quotient of 32, means:

x / y = 32
x = 32y

Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 84 with 32y, like this:

x • y = 84
32y • y = 84
y = 1.620185

Finally, since y = 1.620185, we put 1.620185 into Equation 1 by substituting y in x • y = 84 with 1.620185, like this:

x • 1.620185 = 84
x = 51.845926

Thus, the answer is "1.620185 and 51.845926" as illustrated here:

51.845926 • 1.620185 = 84

51.845926 / 1.620185 = 32

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

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