Question

daca:
m+o+n+p=820
m-n=n-o=o-p=90
m+o+n+p=?

Answer 1

m+n+o+p=820
m-n=90=>m=n+90 (1)
n-o=90=>n=90+o (2)
o-p=90=>o=p+90 (3)
Din (1) si (2)=>m=90+o+90
m=180+o (4)
Din (3) si (4)=>m=180+p+90
m=270+p
Acum inlocuim
270+p+n+o+p=820
270+n+o+2p=820/-270
n+o+2p=550
Inlocuim din nou
90+o+o+2p=550
90+2o+2p=550/-90
2o+2p=460/:2
o+p=230
Inlocuim din nou
p+90+p=230
2p+90=230/-90
2p=140/:2
p=70=>o=p+90
            o=70+90
            o=160=>n=o+90
                           n=160+90
                           n=250=>m=n+90
                                         m=250+90
                                          m=340