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IMAS 2018 — Upper Primary Grades 5–6 — Round 2 Question 5

IMAS · IMAS 2018 — Upper Primary Grades 5–6 — Round 2

Question 5

Given four distinct non-zero digits a, b, c and d, if $\overline{ab}+\overline{cd}=\overline{dc}+\overline{ba}$ , then this expression is called a palindrome expression and the sum of the two numbers $\overline{ab}+\overline{cd}$ is called a palindrome sum. For example, $53+46=64+35=99$ . What is the minimum possible value of a palindrome sum?

  1. 22
  2. 33
  3. 44
  4. 55
  5. 99