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AMO 2027 Grades 2-3 SET 18 - Self-study Question 4

AMO · AMO 2027 Grades 2-3 SET 18 - Self-study

Question 4

Ksi lives in a small street with 6 houses. One day 35 letters were delivered in his street and he received more letters than anyone else. What is the smallest number of letters he could have received?

Self-study recipient convention (editorial): treat the six houses as six recipients, one of them Ksi, and distribute all 35 letters among them. Ksi must receive strictly more than each of the other five.