To find the answer to "What two numbers have a product of 125 and a sum of 88?" we first state what we know. We are looking for x and y and we know that x • y = 125 and x + y = 88.
Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which means that when we create one equation to solve the problem, we will have two answers.
To solve the problem, we take x + y = 88 and solve it for y to get y = 88 - x. Then, we replace y in x • y = 125 with 88 - x to get this:
x • (88 - x) = 125
Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 125 and a sum of 88. The numbers are:
1.44415
86.55585
That's it! The two numbers that have a product of 125 and a sum of 88 are 1.44415 and 86.55585 as proven below:
1.44415 • 86.55585 ≈ 125
1.44415 + 86.55585 = 88
Note: Answers are rounded up to the nearest five decimals if necessary so the answers may not be exact.
Product Sum Calculator
Need the answer to a similar problem? Submit another product and sum below to find the two numbers that make your product and sum.