Question

COROANA !☺
1. Aflati 5 nr. rationale stiind ca primele 3 sunt direct proporționale cu 5,6 si 10 , ultimele 3 sunt direct proporționale cu 3,8,12 si suma lor este egală cu 200

Answer 1

a/5 = b/6 = c/10      a=5c/10=c/2    b=6c/10=3c/5
c/3 = d/8 = e/12      d=8c/3    e=12c/3=4c

 a+b+c+d+e= 200
c/2+3c/5+c+8c/3+4c=200
15c+18c+30c+80c+120c=6000
263c=6000
c=6000/263
a=(6000/263)/2=3000/263
b=6000/263 ×3/5=3600/263
d=6000/263 ×8/3=16000/263
e=6000/263 ×4=24000/263


verificare
3000/263+3600/263+6000/263+16000/263+24000/263=52600/263 =200