Question

determinati numerele x si y stiind ca sunt invers proportionale cu 0,3 si 0,25; iar media lor aritmetica este 14

Answer 1

x/0.3=y/0.25 |*10
x*3=y*2,5
y=x*3/2,5
x+y=14*2
x+y=28
y=x*3/2,5
x+x*3/2,5=28 |*2,5
x*5,5=70
x=70/5,5
d aici calculezi tu.

Answer 2

0,3=3/10
0,25=25/100=1/4
x/1/(3/10)=k   3x/10=k    x=10k/3
y/1/(1/4)=k   y/4=k    y=4k
(x+y)/2=14     x+y=28
10k/3+4k=28
10k+12k=84
k=84/22=42/11
x=(10*42/11)/3=140/11
y=4*42/11=168/11

verificare
(x+y)/2=(140/11+168/11)/2=308/22=14