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One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child's age and eldest child's age is two times of sum of other two children. What is the age of eldest child?

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23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. The average age of all boys in the class is 16.66, while the average age of all girls in the same class is 18.75. Thus the average marks of all 40 students in the class is 17.5 what is the number of girls in the class?
(A) 12
(B) 16
(C) 18
(D) 20
(E) Data Insufficient