SOLUTION: Mr. Morris thought about two positive numbers whose sum equals 20 but the difference of their squares is 40. What are the two numbers?

Question 414100: Mr. Morris thought about two positive numbers whose sum equals 20 but the difference of their squares is 40. What are the two numbers?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

two positive numbers whose sum equals 20 

Let x and (20-x) represent the numbers

Question states***

   (20-x)^2 - x^2 = 40

Solving for x

  400 - 40x + x^2 - x^2 = 40

      360 = 40x

       9 = x   The two positive numbers are 9 and 11  (20-9)



CHECKING our Answer***

   121 - 81 = 40 

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