SOLUTION: If one number is 4 times another, and their product is 4 times their sum, what are the two numbers needed for the solution? I came up with this formula, but something is missing:

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If one number is 4 times another, and their product is 4 times their sum, what are the two numbers needed for the solution? I came up with this formula, but something is missing:       Log On


   

Question 393685: If one number is 4 times another, and their product is 4 times their sum, what are the two numbers needed for the solution? I came up with this formula, but something is missing: x=one number and 4x + x = the other
4x+x = 4(4x+x)
5x = 20x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Letting x and 4x represent the numbers..good work.

Writing as we Read, important to get the words into a written equation***

 product = 4 times their sum

  x(4x)   = 4(x + 4x)   |may be tendency to over think w/o writing while reading

 4x^2 -20x = 0

  4x(x-5) = 0  x = 0 and x = 5  |tossing out x = 0 

   x = 5, the other numbers is 20   (4*5)

CHECKING our Answer***

  100 = 4*25