Question : The product of the digits of a 2-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 y and the tens digit be
Number =
Product of digits =
According to the question,
Solving (i) and (ii), we get:
Number = 38
Hence, the correct answer is 38.
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