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MathNet 2019-part-04 — 184 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 72

The numbers $abcd$ and $dcba$ consist of the same four digits $a$, $b$, $c$, and $d$, but in opposite orders. When we add the two numbers, we get $13552$.
Determine $a + b + c + d$.