Question

Aflati numerele naturale, stiind ca doua cate doua au media aritmetica egala cu 17,23 si respectiv 25. Multumesc mult!

Answer 1

(x+y)/2=17,(y+z)/2=23,(x+z)/2=25
x+y=17•2=34
y+z=23•2=46
x+z=25•2=50
=>x+y=34,y+z=46,x+z=50
x+y+y++x+z=34+46+50=130
x+y+z=130/2=65
x+y+y+z=34+46=80
(x+y+y+z)-(x+y+z)=y
80-65=15=>y=15
x+y=34=>x+15=34=>x=34-15=19
x+z=50=>19+z=50=>z=50-19=31
=> x=19
y=15 iar z=31.