Sum of the digits of a two digit number is 9 . when we interchange the digits it is found that the resulting new number is greater than the original number by 27 . what is the two digit number
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let a = one digit and b=another
this means
ba-ab=27
as every number can be expressed as 10 times the first digit+the unit digit so
(10b+a)-(10a+b)=27
10b+a-10a-b=27
9b-9a=27
9(a-b)=27
a-b=3
a-b=3 and a+b=9
so the number a=3 and b=6
so number is 36.
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