Question

Determinati numerele naturale m, n şi p pentru care
502 x m + 503 X n + 505 x p = 2020.​

Answer 1

Răspuns:

502*m+503*n+505*p=2020

502+503+505*m+n+p=2020:100

5*m+5*n+5*p=20.2

Facem sistem:

5*m+5*n+5*p=20.2/:5

m+n+p=4/*-1

-m-n-p=4

m+n+p=4

n-p=-4+p

n+p=4

n-p=-4+p

-4+2p=4

2p=0

p=0

n=4