SOLUTION: The difference between the squares of two consecutive odd no. is 80.Find the numbers.

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Question 625133: The difference between the squares of two consecutive odd no. is 80.Find the numbers.
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
the first number is x and the second number is %28x%2B2%29 because consecutive odd numbers always increase by two.. the we get the following equation
x%5E2-%28x%2B2%29%5E2=80 then x%5E2-x%5E2%2B4x%2B4=80 then we get 4x%2B4=80 then we get 4x=76 so x is 19... so the numbers are 19 and 21