Z5–I–4 MO 2017 Badminton

Eva and Mark were playing badminton and Viktor counted their rallies. After every 10 rallies, Viktor drew a cross (X). Then, instead of every 10 crosses, he drew a circle (O) and erased the corresponding 10 crosses. When Eva and Mark finished the game, Viktor had drawn the following:

OOOXXXXXXXX

Determine the least and most rallies Eva and Mark played.

Correct answer:

a =  370
b =  379

Step-by-step explanation:

a=3 10 10+7 10=370
b=a+9=370+9=379



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