Lining Up

Logic Level 1

20 students are standing in line.
Counting from the front, Alex is 7th in line.
Bess is directly in front of Alex.
If we count from the back, what is the position of Bess?

15th 13th 14th 16th

Chung Kevin by Chung Kevin , 45, Australia

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3 solutions

Zee Ell
Mar 22, 2017

Bess is the 7 - 1 = 6th in the line from the front. This means, that there are 5 people in front of her (or behind her from the back).

Hence, Bess’ position from the back is: 20 − 5 = 15 t h \text {Hence, Bess' position from the back is: } 20 - 5 = \boxed {15th}

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Harry Dambrogio
Apr 25, 2019

I used a piece of paper and drew 20 dots in a line I marked Alex at 7th from the front and Bess at 6th from the front. Then I counted backwards from the 20th dot and got ... 15 t h 15th

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Anirudh Sreekumar
Mar 24, 2017

It is easy to note that the sum of positions from the front and back for the same person equals 21 21 ,

Bess is 6 t h 6th from the front being one ahead of Alex,

so her position from the back would be 21 − 6 = 5 t h 21-6=\boxed{5th}

0 Helpful 0 Interesting 0 Brilliant 1 Confused

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