Question

a+b+c+d=2017
a-8=b+6=c-7=d+8
Aflati numerele a,b,c,d.

Answer 1

a-8=b+6 => a=b+6+8 => a=b+14
b+6=c-7 => c=b+6+7 => c=b+13
d+8=c-7 => d+8=b+13-7 => d=b+6-8 => d=b-2

a+b+c+d=2017 => b+ 14 + b + b+ 13 + b-2 = 2017 => 4b +25 = 2017 => 4b = 1992 => b=498 ; a=498+14=512 ; c= 498+13 = 511 ; d=498-2=496

Verificam daca 512 + 498 + 511 + 496 = 2017 (A)

R: a=512
    b=498
     c=511
     d=496