Here is how to get the answer to "What two numbers have a product of 8 and a quotient of 54?" 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 54, means:
x / y = 54
x = 54y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 8 with 54y, like this:
x • y = 8
54y • y = 8
y = 0.3849
Finally, since y = 0.3849, we put 0.3849 into Equation 1 by substituting y in x • y = 8 with 0.3849, like this:
x • 0.3849 = 8
x = 20.78461
Thus, the answer is "0.3849 and 20.78461" as illustrated here:
20.78461 • 0.3849 = 8
20.78461 / 0.3849 = 54
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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