SOLUTION: Hi!!!please help me with this one. The tens digit of a certain two - digit number is 4 more than the unit's digit, the sum of the squares of the two digits is 26. Find the numbers

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Question 477328: Hi!!!please help me with this one.
The tens digit of a certain two - digit number is 4 more than the unit's digit, the sum of the squares of the two digits is 26. Find the numbers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +u+ = the units digit
Let +t+ = the tens digit
given:
(1) +t+=+u+%2B+4+
(2) +t%5E2+%2B+u%5E2++=+26+
Substitute (1) into (2)
(2) +%28u+%2B+4%29%5E2+%2B+u%5E2++=+26+
(2) +u%5E2+%2B+8u+%2B+16+%2B+u%5E2+=+26+
(2) +2u%5E2+%2B+8u+-+10+=+0+
(2) +u%5E2+%2B+4u+-+5+=+0+
(2) +%28u+%2B+5%29%2A%28u+-+1%29+=+0+ (I could see the factors)
+u+=+1+ (Not -5 because minus digits not allowed)
and
(1) +t+=+u+%2B+4+
(1) +t=+5+
------------
The number is 51