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SASMO 2016 Secondary 3 (Grade 9) Contest Question 19

SASMO · SASMO 2016 Secondary 3 (Grade 9) Contest

Question 19

The numbers 1, 2,3, 4,...,99, 100 are written on a whiteboard. Tom choose any
two numbers a and b, erases them and then writes down their sum a+b. He
continues the same process until one number is left on the whiteboard. What is
this number?

Question illustration