What two numbers have a product of 96 and a quotient of 7?

Here is how to get the answer to "What two numbers have a product of 96 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 96, means:

x • y = 96

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 = 96 with 7y, like this:

x • y = 96
7y • y = 96
y = 3.70328

Finally, since y = 3.70328, we put 3.70328 into Equation 1 by substituting y in x • y = 96 with 3.70328, like this:

x • 3.70328 = 96
x = 25.922963

Thus, the answer is "3.70328 and 25.922963" as illustrated here:

25.922963 • 3.70328 = 96

25.922963 / 3.70328 = 7

Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.

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