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IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3 Question 18

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3

Question 18

A four-digit number has no digit 0 or 9. Decrease its first and last digits by 1 and increase each middle digit by 1 to form a new number. The greatest common divisor of the old and new numbers is the two-digit number ab, greater than 85. What is a+b?

Question illustration
  1. 10
  2. 12
  3. 15
  4. 17
  5. 18