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In a row of students of a class facing t...

In a row of students of a class facing the North, A is 16th from the left end and C is 16th from the right end. B, who is 4th to the right of A, is fifth to the left of C in the row. How many students are there in the class?

A

39

B

40

C

41

D

42

Text Solution

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The correct Answer is:
To solve the problem step by step, we can follow these instructions: ### Step 1: Identify the positions of A and C - A is 16th from the left end. - C is 16th from the right end. ### Step 2: Determine B's position relative to A - B is 4th to the right of A. - Therefore, if A is in the 16th position from the left, B's position from the left can be calculated as: - Position of B = Position of A + 4 = 16 + 4 = 20 - So, B is 20th from the left. ### Step 3: Determine B's position relative to C - B is also 5th to the left of C. - Therefore, if we denote C's position from the left as \( x \), we can express this relationship as: - Position of B = Position of C - 5 - From the previous step, we know B is 20th from the left, so: - 20 = \( x \) - 5 - Solving for \( x \): - \( x = 20 + 5 = 25 \) - Thus, C is 25th from the left. ### Step 4: Calculate the total number of students - We know that C is 16th from the right. - The total number of students can be calculated using the formula: - Total students = (Position of C from the left) + (Position of C from the right) - 1 - Substituting the values we have: - Total students = 25 + 16 - 1 = 40 ### Conclusion - Therefore, the total number of students in the class is **40**. ---
To solve the problem step by step, we can follow these instructions: ### Step 1: Identify the positions of A and C - A is 16th from the left end. - C is 16th from the right end. ### Step 2: Determine B's position relative to A - B is 4th to the right of A. ...
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