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A two digit number is such that,the sum of it's digits is 13. When the digits are interchanged , the original number is increased by 9. Find the original number. 

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Let the numbers be x and y
The number is xy
x+y=13....(I)
yx- xy = 9....(ii)
(10y+x)-(10x+y) = 9.....(ii)
9y-9x=9....(ii).
y=(13-x)...(i)


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