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? [IBPS (PO) 2011] |
A) 3
B) 2
C) 1
D) 4
E) None of these
Correct Answer: C
Solution :
Let the number be \[10x+y.\] |
The number by interchanging the position of the digit |
\[=10y+x\] |
Now, \[(10x+y)-(10y+x)=9\] |
\[\Rightarrow \] \[9x-9y=9\] |
\[\Rightarrow \] \[9\,\,(x-y)=9\]\[\Rightarrow \]\[(x-y)=1\] |
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