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IMSO 2019 — Math Division — Essay Question 3

IMSO Maths · IMSO 2019 — Math Division — Essay

Question 3

There are 23 students in a room. Their ages are either 10, 11, 12 or 13 years old, and there is at least one student of each age. It is known that their total age is 253, and there are 1.5 times as many 12-year-old students as 13-year-old students. How many 10-year-old students are there?