Question

faceti-mi exericitiul asta la matematica: mie mi se pare greu


m+n+o+p=820

m-n=n-o=o-p=90 care este m n o si 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

Answer 2

m-n=90 => m= n+90
n-o=90 => n=o+90
o-p=90 => o = p+90
n=p+90+90
m=p+90+90+90
o=p+90
n=p+180
m=p+270
p+p+90+p+180+p+270=820
4p+540=820
4p=820-540
4p=280
p=280:4
p=70
o=160
n=250
m=340
 

da multumesc si mie mia fost greu sal scriu