SOLUTION: There are several two digit numbers when reversed and added together equal 121. What is one of these two digit numbers?

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Question 820487: There are several two digit numbers when reversed and added together equal 121. What is one of these two digit numbers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the tens digit = +t+
Let the units digit = +u+
-----------------------
+10t+%2B+u+%2B+10u+%2B+t+=+121+
+11t+%2B+11u+=+121+
+11%2A%28+t+%2B+u+%29+=+121+
+t+%2B+u+=+11+
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If I say +t+=+7+, then
+u+=+4+, so 74 is a possible number
check:
+10t+%2B+u+%2B+10u+%2B+t+=+121+
+10%2A7+%2B+4+%2B+10%2A4+%2B+7+=+121+
+70+%2B+4+%2B+40+%2B+7+=+121+
+74+%2B+47+=+121+
+121+=+121+
OK