What two numbers have a product of 14 and a quotient of 56?

Here is how to get the answer to "What two numbers have a product of 14 and a quotient of 56?" 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 14, means:

x • y = 14

Equation 2: Two numbers have a quotient of 56, means:

x / y = 56
x = 56y

Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 14 with 56y, like this:

x • y = 14
56y • y = 14
y = 0.5

Finally, since y = 0.5, we put 0.5 into Equation 1 by substituting y in x • y = 14 with 0.5, like this:

x • 0.5 = 14
x = 28

Thus, the answer is "0.5 and 28" as illustrated here:

28 • 0.5 = 14

28 / 0.5 = 56

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

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