Here is how to get the answer to "What two numbers have a product of 96 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 96, means:
x • y = 96
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 = 96 with 4y, like this:
x • y = 96
4y • y = 96
y = 4.898979
Finally, since y = 4.898979, we put 4.898979 into Equation 1 by substituting y in x • y = 96 with 4.898979, like this:
x • 4.898979 = 96
x = 19.595918
Thus, the answer is "4.898979 and 19.595918" as illustrated here:
19.595918 • 4.898979 = 96
19.595918 / 4.898979 = 4
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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