Sum of the two digits no. is 9. When we interchange the digits it is found that the resulting new no. is greater than the original no. by 27. What is the 2-digit no.?
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let the unit digit be y and the tenth digit be x
number fromed = 10 x +y reverse number =10y+x
x+y=9 (given )..............eq1
10y +x=10x+y +27.............eq 2
9y-9x=27
y-x=3...........eq3
solving eq1 and eq3 we get
x=3,y=6
original number be 36 reverse number be 63
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