To find the answer to "What two numbers have a product of 28 and a sum of 182?" we first state what we know. We are looking for x and y and we know that x • y = 28 and x + y = 182.
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 = 182 and solve it for y to get y = 182 - x. Then, we replace y in x • y = 28 with 182 - x to get this:
x • (182 - x) = 28
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 28 and a sum of 182. The numbers are:
0.15398
181.84602
That's it! The two numbers that have a product of 28 and a sum of 182 are 0.15398 and 181.84602 as proven below:
0.15398 • 181.84602 ≈ 28
0.15398 + 181.84602 = 182
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.