Two-digit number

Digit sum of thinking two-digit natural number is 11. When it exchanging a sequence of digits, given a number which is 27 less than the thinking number. Find out which number I think.

Correct result:

x =  74


x = 10•a+b
a+b = 11
10•b+a = x - 27

10a+b-x = 0
a+b = 11
a+10b-x = -27

a = 7
b = 4
x = 74

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