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VTMO 2019 — Grade 9 — semifinal Question 6

VTMO · VTMO 2019 — Grade 9 — semifinal

Question 6

$A , B , C , D$ have $76$ candies total. Simultaneously they keep $1 , 2 , 3 , 4$ candies respectively and split their remainders equally among the other three. Final totals are equal. How many did A originally have?
  1. $13$
  2. $19$
  3. $25$
  4. $30$
  5. $33$