Here is how to get the answer to "What two numbers have a product of 8 and a quotient of 8?" 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 8, means:
x • y = 8
Equation 2: Two numbers have a quotient of 8, means:
x / y = 8
x = 8y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 8 with 8y, like this:
x • y = 8
8y • y = 8
y = 1
Finally, since y = 1, we put 1 into Equation 1 by substituting y in x • y = 8 with 1, like this:
x • 1 = 8
x = 8
Thus, the answer is "1 and 8" as illustrated here:
8 • 1 = 8
8 / 1 = 8
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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