The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is
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Let the digit in tens place be x and digit in ones place be y.
The number will be 10x+y .
According to the first condition ,
x + y = 9 ................ (1)
According to the second condition ,
10y + x = 10x + y + 27
9y = 9x + 27
y = x + 3
Put the value of y in (2),
x + x + 3 = 9
2x = 6
x = 3
y = 6
So,the number is 63 .
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