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In a two-digit number the sum of the digits is 12. When the digits are reversed, the number increases by 18. Find the original number.

Competition practiceNumber System, HCF & LCM
  • A57
  • B39
  • C75
  • D48

Step-by-Step Solution

Reversing raises the number by 18 means (units − tens) × 9 = 18, so units − tens = 2; with a digit sum of 12 the digits are 5 and 7, giving 57.
Answer: A) 57

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