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The sum of a two-digit number and the number formed by reversing its digits is 132. If the two digits differ by 2 and the tens digit is greater, what is the original number?

Competition practiceNumber System, HCF & LCM
  • A84
  • B48
  • C75
  • D57

Step-by-Step Solution

Sum of the number and its reverse = 11 × (sum of digits) = 132, so the digits add to 12. With a difference of 2, the digits are 7 and 5, giving 75.
Answer: C) 75

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