Here is how to get the answer to "What two numbers have a product of 4 and a quotient of 36?" 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 4, means:
x • y = 4
Equation 2: Two numbers have a quotient of 36, means:
x / y = 36
x = 36y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 4 with 36y, like this:
x • y = 4
36y • y = 4
y = 0.333333
Finally, since y = 0.333333, we put 0.333333 into Equation 1 by substituting y in x • y = 4 with 0.333333, like this:
x • 0.333333 = 4
x = 12
Thus, the answer is "0.333333 and 12" as illustrated here:
12 • 0.333333 = 4
12 / 0.333333 = 36
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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