What two numbers have a product of 90 and a sum of 48?




To find the answer to "What two numbers have a product of 90 and a sum of 48?" we first state what we know. We are looking for x and y and we know that x • y = 90 and x + y = 48.

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 = 48 and solve it for y to get y = 48 - x. Then, we replace y in x • y = 90 with 48 - x to get this:

x • (48 - x) = 90

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 90 and a sum of 48. The numbers are:

1.95459
46.04541


That's it! The two numbers that have a product of 90 and a sum of 48 are 1.95459 and 46.04541 as proven below:

1.95459 • 46.04541 ≈ 90

1.95459 + 46.04541 = 48

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

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