SOLUTION: ythe tens digit of a certain number is 4 more than the units digit. the sum of the squares of the two digits is 26. find the number.... I have tried this question many differen

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Question 103670: ythe tens digit of a certain number is 4 more than the units digit. the sum of the squares of the two digits is 26. find the number....
I have tried this question many differen ways and its starting to bother me becuse i dont understand how to get the answer.. please help me.
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
I think I understand your explanation.
Your number is XY where
X=Y%2B4and
X%5E2%2BY%5E2=26Sum of the squares equals 26.
%28Y%2B4%29%5E2%2BY%5E2=26Substitute for X as function of Y.
%28Y%5E2%2B8Y%2B16%29%2BY%5E2=26FOIL method.
2Y%5E2%2B8Y%2B16-26=26-26Additive inverse of 26.
2Y%5E2%2B8Y-10=0
Y%5E2%2B4Y-5=0Divide by 2.
%28Y-1%29%28Y%2B5%29=0Factor the equation.
Y=1 or Y=-5 are the two solutions.
A negative digit would not make sense here, so we use Y=1.
X=Y%2B4Your first equation.
X=1%2B4Plug in the value for Y.
X=5
Your number is XY=51.