Here is how to get the answer to "What two numbers have a product of 68 and a quotient of 7?" 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 68, means:
x • y = 68
Equation 2: Two numbers have a quotient of 7, means:
x / y = 7
x = 7y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 68 with 7y, like this:
x • y = 68
7y • y = 68
y = 3.116775
Finally, since y = 3.116775, we put 3.116775 into Equation 1 by substituting y in x • y = 68 with 3.116775, like this:
x • 3.116775 = 68
x = 21.817424
Thus, the answer is "3.116775 and 21.817424" as illustrated here:
21.817424 • 3.116775 = 68
21.817424 / 3.116775 = 7
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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