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IMSO 2022 Mathematics — International Short Answer Question 10

IMSO Maths · IMSO 2022 Mathematics — International Short Answer

Question 10

All students in a class, including Amy, stand in a line. One at a time, they starting counting the numbers consecutively starting from 1, 2, 3, …. The sum of the numbers from all students minus twice of Amy’s number is 100. If Amy’s number is A and the number of all students is B, what is the value of $A+B$?