A rank fourth in a class.B ranks ninth from the last,if c is ninth after a and just in the middleof a and b , how many studentsare there in the class
Answers
Answer:
38
Step-by-step explanation:
A's rank= 4
Let no. of students be x
now,
for example,
There are four students. I am 3rd from last. Then, I am (4-3+1) from front i.e. 2nd
Similarly,
B's rank from front= (x-9+1)
and, C's rank= (4+9)=13
A.T.P.
all ranks from front,
=(B's rank - A's rank)/2 = C's rank
=(x-9+1-4)/2=13
=x-12=26
=x=38
There are 30 students in class
Solution:
Given that,
A ranks 4th in class
Therefore, before A, there are 3 ranks
Also, given that,
B ranks ninth from last
Therefore, after B, there are 8 ranks
Also given that,
C is ninth after A and just in the middle of A and B
Therefore, we can represent as:
1 2 3 A 1 2 3 4 5 6 7 8 C 1 2 3 4 5 6 7 8 B 1 2 3 4 5 6 7 8
Therefore,
Total students = 3 + 1 + 8 + 1 + 8 + 1 + 8 = 30
Thus there are 30 students in class
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