SOLUTION: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 229191: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?
Answer by Alan3354(21605) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?
-------------
No, it's not.
The square of an odd number is an odd number, same for even numbers.
Subtracting and odd number from and even number always gives and odd difference.
--> Always odd.