Algebra: distance from a fixed point

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drooble122
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Homework Statement
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Basic algebra
Printed textbook problem 29: A man walks 2a - b miles due North from a fixed point O, and then walks a distance 3a + 2b miles due South; what is his final position with regard to O?

Printed problem text reading: 29. a + b miles south of O.


The first image is the question and the second is the answer.
My thinking is let's say North is positive, and South is negative. Fixed point O is the starting point. Then the question becomes +(2a-b)-(3a+2b). The answer should be -a-3b. I cannot fathom why the book gives the answer as a+b. Any help would be appreciated. Thank you.
 
Office_Shredder said:
It's probably a typo and they meant to say 2a+b miles north.
Exactly.