Here is how to get the answer to "What two numbers have a product of 5 and a quotient of 12?" 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 5, means:
x • y = 5
Equation 2: Two numbers have a quotient of 12, means:
x / y = 12
x = 12y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 5 with 12y, like this:
x • y = 5
12y • y = 5
y = 0.645497
Finally, since y = 0.645497, we put 0.645497 into Equation 1 by substituting y in x • y = 5 with 0.645497, like this:
x • 0.645497 = 5
x = 7.745967
Thus, the answer is "0.645497 and 7.745967" as illustrated here:
7.745967 • 0.645497 = 5
7.745967 / 0.645497 = 12
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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