SOLUTION: The sum of the digits of a certain two digit number is 12. When you reverse its digits you increase the number by 36. what is the number?

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Question 873151: The sum of the digits of a certain two digit number is 12. When you reverse its digits you increase the number by 36. what is the number?
Answer by indra89811(24) About Me  (Show Source):
You can put this solution on YOUR website!
Ten's digit=x
Unit's digit=y
x+y=12----(1)
Number=10x+y
On reversing, it becomes x+10y
x+10y-(10x+y)=36
-9x+9y=36
-x+y=4---(2)
x+y=12---(1)
Adding both equations,
2y=16
y=8
Plugging in y=8 in eq (1)
x+8=12
x=4
Hence the number=10*4+8=48
-------------------------Peace out, hun :*---------------