Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2009 · Marks: · Difficulty:
If the digits of a two-digit number are interchanged, the number formed is greater than the original number by 45. If the difference between the digits is 5, what is the original number?
Answer
Answer (as printed):
Explanation
Since the number formed by interchanging the digits is greater so the ten's digit of the original number is smaller than the unit's digit. Let the ten's digit be $x$. Then, unit's digit $=x+5$. Original number $=10x+(x+5)=11x+5$. Number formed on interchanging the digits $=10(x+5)+x=11x+50$. $\therefore(11x+50)-(11x+5)=45 \Rightarrow 45=45$, which is independent of $x$. Hence, the number cannot be determined from the given data.
Explanation as extracted from the printed page; notation may be imperfect.