Question

coroana si puncte.va rooog.ex 4 repedee

Answer 1

Fie: a, b, c, d
b=2a
b=c/2
b=d/4
b+c+d=252+a+b+c

b+c+d=252+a+b+c⇒
b-b+c-c+d-a=252
d-a=252
d= 252-a
daca b=d/4, avem atunci : b=2a, rezulta ca: 2a=d/4, deci d=8a

aplicam in fraza de mai sus: d-a=252 si obtinem: 8a-a=252;  7a=252; a=36

a=36
b=2a=2*36=72
b=c/2, deci 2b=c, deci c= 2*72=144
b=d/4, deci 4*b=d; d=4*72=288


solutia:
a= 36
b=72
c=144
d=288