Question

A number consists of 2digits whose sum is 9if 27is subtracted from the numbers the digits will be reversed find the number

Answer 1

let the tens digit be x, y the ones digit.

Then x+ y = 9, and 


10x + y - 27 = 10y + x. 


The second equation is equivalent to 9x - 9y = 27, or x - y = 3. 


Combining this with the first equation, we get x = 6, and y = 3. 


The original number is 63.


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