Here is how to get the answer to "What two numbers have a product of 25 and a quotient of 5?" 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 25, means:
x • y = 25
Equation 2: Two numbers have a quotient of 5, means:
x / y = 5
x = 5y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 25 with 5y, like this:
x • y = 25
5y • y = 25
y = 2.236068
Finally, since y = 2.236068, we put 2.236068 into Equation 1 by substituting y in x • y = 25 with 2.236068, like this:
x • 2.236068 = 25
x = 11.18034
Thus, the answer is "2.236068 and 11.18034" as illustrated here:
11.18034 • 2.236068 = 25
11.18034 / 2.236068 = 5
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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