The sum of two digits of a number is 12.if 54 is subtracted from it it's digits are reversed.find the number

Answers (1)

Let the digits of the no be x and y
x+y=12⇒y=12-x.....(i)
ATQ
10x+y-54=10y+x
10x+12-x-54=10(12-x)+x...............(using (i) )
⇒9x-42=120-9x
⇒18x=162
⇒x=9
So the digits are 9 and 3 
And the no is 93.

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