SOLUTION: If 36 is subtracted from certain two-digit positive integers, their digits are reversed. Find all integers for which this is true.

Algebra ->  Graphs -> SOLUTION: If 36 is subtracted from certain two-digit positive integers, their digits are reversed. Find all integers for which this is true.      Log On


   



Question 710991: If 36 is subtracted from certain two-digit positive integers, their digits are reversed. Find all integers for which this is true.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let The tens digit = +a+
Let the units digit = +b+
given:
+10a+%2B+b+-+36+=+10b+%2B+a+
+10a+-+a+-+10b+%2B+b+=+36+
+9a+-+9b+=+36+
+9%2A%28+a+-+b+%29+=+36+
+a+-+b+=+4+
Any number for which this is true works
check:
+a+=+9+
+b+=+9+-+4+
+b+=+5+
+95+-+36+=+59+
also
+84+-36+=+48+
seems to work