What times what equals 280 and adds up to 38?

Answer 1

318

Answer 2

You have two equations and two unknowns.

x+y = 38
x*y = 280

Rearranging the first one, y= 38-x. Substituting that into the second gives

x * (38-x) = 280

Multiplying that out, you're looking for the solution to the equation

-1x*x + 38x - 280 = 0.

The roots of that equation are 10 and 28, so there are your answers.

Answer 3

To find two numbers that multiply to 280 and add up to 38, we can set up a system of equations. Let's call the two numbers x and y. We have the equations xy = 280 and x + y = 38. By substituting y = 38 - x into the first equation, we get x(38 - x) = 280. Simplifying this equation gives us a quadratic equation x^2 - 38x + 280 = 0. Solving this quadratic equation will give us the two numbers that satisfy both conditions.