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

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(32388) (Show Source): You can put this solution on YOUR website!
I think I understand your explanation.
Your number is XY where
and
Sum of the squares equals 26.
Substitute for X as function of Y.
FOIL method.
Additive inverse of 26.

Divide by 2.
Factor the equation.
Y=1 or Y=-5 are the two solutions.
A negative digit would not make sense here, so we use Y=1.
Your first equation.
Plug in the value for Y.

Your number is XY=51.

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