Solutions of equation - I.S.I. 2018 Problem 1

Find all pairs ( (x,y) ) with (x,y) real, satisfying the equations $$\sin\bigg(\frac{x+y}{2}\bigg)=0~,~\vert x\vert+\vert y\vert=1$$

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Faiz says:
May 15, 2018 at 10:10 pm
Can u please tell which book of yaglom?as he has written many books i guess.
Thnx
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1. Ashani Dasgupta says:
  May 16, 2018 at 8:33 am
  I think the name of the book is Challenging Mathematical Problems with elementary solutions. There are about 300 problems in the book and somewhere at the end of it, this problem is given
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  1. Faiz Akhtar says:
    May 16, 2018 at 4:52 pm
    Sorry again for bothering you but i culdn’t find the problem in yaglom.can u please help with page no.!
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    1. Ashani Dasgupta says:
      May 17, 2018 at 10:42 pm
      Faiz, let me double check
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      1. Faiz Akhtar says:
        May 18, 2018 at 10:52 am
        Okay thnx.waiting for ur reply.
Suman Saurav says:
May 16, 2018 at 4:23 pm
can u tell which book is best for ISI(B.math) entrance examination
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1. Ashani Dasgupta says:
  May 17, 2018 at 10:42 pm
  Test of Mathematics
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Rohan Bhattacharya says:
May 21, 2018 at 7:25 pm
Please give the solution of problem no 5,bstat 2018
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