The difference between a two digit number and the number obtained by interchanging the two digits of the number is 9. What is the difference between the two digits of the number?
[United India Insurance, AAO, 2012]
Explanation
let the two digit number be 10x+y
and the number obtained by interchanging the position of the digits be 10y+x
According to the question,
(10x+y)−(10y+x)= 9
⇒ 9x−9y=9
⇒ 9(x−y)=9
⇒ (x−y)=1
Hence, option C is correct.
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