Here is how to get the answer to "What two numbers have a product of 46 and a quotient of 4?" 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 46, means:

x • y = 46

**Equation 2:**Two numbers have a quotient of 4, means:

x / y = 4

x = 4y

Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 46 with 4y, like this:

x • y = 46

4y • y = 46

y = 3.391165

Finally, since y = 3.391165, we put 3.391165 into Equation 1 by substituting y in x • y = 46 with 3.391165, like this:

x • 3.391165 = 46

x = 13.56466

Thus, the answer is "3.391165 and 13.56466" as illustrated here:

**13.56466 • 3.391165 = 46**

13.56466 / 3.391165 = 4

13.56466 / 3.391165 = 4

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

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