Two hundred

Two hundred ten athletes competed in three athletics races on three fields. One hundred five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Each group, although competing in any discipline, had the same number of members. The groups created were as large as possible. How many athletes competed in the group?

Correct answer:

x =  15

Step-by-step explanation:

a=105 b=60 c=210ab=21010560=45  105=357 60=2235 45=325 GCD(105,60,45)=35=15  x=GCD(a,b,c)=GCD(105,60,45)=15

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