Question: 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]
Options:
A) 3
B) 2
C) 1
D) 4
E) None of these
Show Answer
Answer:
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 $