Problem 6
Let x, y, and z be positive integers such that x is a two digit number and y is obtained by reversing
the two digits of x. The integers satisfy the equation x
2 - y
2 = z
2.
Find the ordered pair (x,y,z).
Don't forget to show your
WORK with your solution!
Students, email your solutions to
UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday October 21st, 2010.
Along with your solution, include your name, your school's name,
the name of your math teacher or math club moderator, and your year in school.
