Question

Determinați numerele a,b,c,d stiind că a supra6=b supr9 ; b supra 6=c supra 3 ; c supra 9= d supra 16 si 3a-2b+4c-d=40 .

Answer 1

Răspuns

a/6=b/9=>9a=6b=>3a=2b

b/6=c/3=>3b=6=>c=>b=2c

c/9=d/16=>16c=9d

3a-2b+4c-d=40

2b-2b+4c-d=40

4c-d=40 I·9

36c-9d=360

36c-16c=360=>20c=360=>c=360:20=>c=18

b=2c=>b=2·18=>b=36

3a=2b=>3a=2·36=>a=72:3=>a=24

16c=9d=>16·18=9d=>288=9d=>d=288:9=>d=32