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MathNet 2007-part-01 — 187 problems (EN–VI) Question 74

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 74

The mixed candies. Marta and Carmem each received many candies. They mixed the candies and now no longer know how many candies each one received. Let us help them find out the numbers, knowing that:
- together they received $200$ candies;
- each number is a multiple of $8$;
- Marta remembers that she received fewer than $100$ candies, but more than $\frac{4}{5}$ of what Carmem received.