SOLUTION: find two integers that differ by 6 while their squares differ by 132

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: find two integers that differ by 6 while their squares differ by 132       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 276270: find two integers that differ by 6 while their squares differ by 132
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent one of the integers.

Let represent the other one.



and



Solve the first equation for either of the variables. I choose to solve for :



Substitute the expression in that is equal to for in the second equation:



Expand and simplify:











And then the other number must be 8

Check:






John