Here is how to get the answer to "What two numbers have a product of 24 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 24, means:
x • y = 24
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 = 24 with 15y, like this:
x • y = 24
15y • y = 24
y = 1.264911
Finally, since y = 1.264911, we put 1.264911 into Equation 1 by substituting y in x • y = 24 with 1.264911, like this:
x • 1.264911 = 24
x = 18.973666
Thus, the answer is "1.264911 and 18.973666" as illustrated here:
18.973666 • 1.264911 = 24
18.973666 / 1.264911 = 15
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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