Here is how to get the answer to "What two numbers have a product of 12 and a quotient of 15?" 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 12, means:
x • y = 12
Equation 2: Two numbers have a quotient of 15, means:
x / y = 15
x = 15y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 12 with 15y, like this:
x • y = 12
15y • y = 12
y = 0.894427
Finally, since y = 0.894427, we put 0.894427 into Equation 1 by substituting y in x • y = 12 with 0.894427, like this:
x • 0.894427 = 12
x = 13.416408
Thus, the answer is "0.894427 and 13.416408" as illustrated here:
13.416408 • 0.894427 = 12
13.416408 / 0.894427 = 15
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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