Question : The product of the digits of a two-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchanging the digits. What is the original number?
Option 1: 54
Option 2: 83
Option 3: 38
Option 4: 45
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Correct Answer: 38
Solution :
Let the unit digit of the number be
Number
Product of digits
According to the question,
⇒
⇒
Solving equations (i) and (ii), we get,
So, the number
Hence, the correct answer is 38.
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