Ramesh is sitting 14th from the left end and Rajesh is sitting 25th from the right end of the row. If there are 54 students in a row, find the number of persons sitting between Ramesh and Rajesh?
Question
Ramesh is sitting 14th from the left end and Rajesh is sitting 25th from the right end of the row. If there are 54 students in a row, find the number of persons sitting between Ramesh and Rajesh?
Solution
To find the number of students sitting between Ramesh and Rajesh, we first need to find the total number of students sitting to the left of Rajesh and to the right of Ramesh.
Ramesh is sitting 14th from the left end, so there are 13 students to his left. Rajesh is sitting 25th from the right end, so there are 24 students to his right.
Next, we add the number of students to the left of Ramesh, the number of students to the right of Rajesh, and Ramesh and Rajesh themselves:
13 (to the left of Ramesh) + 24 (to the right of Rajesh) + 1 (Ramesh) + 1 (Rajesh) = 39
Finally, we subtract this total from the total number of students in the row to find the number of students sitting between Ramesh and Rajesh:
54 (total students) - 39 = 15
So, there are 15 students sitting between Ramesh and Rajesh.
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