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