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When a two-digit number is added to the number with its digits reversed, the total is 110. The digits differ by 4. What is the larger of the two possible numbers?

Competition practiceNumber System, HCF & LCM
  • A73
  • B37
  • C64
  • D82

Step-by-Step Solution

11(a + b) = 110 gives a + b = 10; with a − b = 4, the digits are 7 and 3. The numbers are 73 and 37; the larger is 73.
Answer: A) 73

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