SOLUTION: one positive integer is 1 less than twice another. the sum of their squares is 218. find the integers

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Question 947486: one positive integer is 1 less than twice another. the sum of their squares is 218. find the integers
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=2B-1
A%5E2%2BB%5E2=218%7D%7D%0D%0ASubstituting%2C%0D%0A%7B%7B%7B%282B-1%29%5E2%2BB%5E2=218
4B%5E2-4B%2B1%2BB%5E2=218
5B%5E2-4B-217=0
%28B-7%29%285B%2B31%29=0
Only the integer solution makes sense here,
B-7=0
B=7
So,
A=2%287%29-1
A=14-1
A=13