In a row of students, if John, who is 16th from the left, and Johnson, who is 8th from the right, interchange their positions, John becomes 33rd from the left. How many students are there in a row?
40
Let's solve the problem step by step.
We start by analyzing the positions of John and Johnson before and after they interchange positions.
Initially, John is 16th from the left. When they switch, John becomes 33rd from the left.
To find the total number of students, we need to establish the relationship between John's new position and Johnson's position.
Johnson was originally in John's new position, so he becomes 33rd from the left when they switch places.
Since Johnson was 8th from the right before the switch, his new position 33rd from the left equals his former position 8th from the right.
To find the total number of students, add the position from the left and the position from the right and subtract 1 (since the count includes John twice).
Total number of students = Left position + Right position - 1
Total number of students = 33 + 8 - 1 = 40
Thus, there are 40 students in the row.
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