Question

Aflati numerele rationale ce sunt invers proportionale cu 0,(3); 0,25; 0,2 si su media aritmetica egala cu 60

Answer 1

a+b+c=60
0,(3)=3/9=1/3
0,25=25/100=1/4
0,2=2/10=1/5
{a,b,c}  invers proprtionale {1/3,1/4,1/5}
a/3=b/4=c/5=k
a=3k
b=4k
c=5k
inlocuim in relatia a+b+c=60
3k+4k+5k=60
12k=60
k=60/12
k=5
x=3k=3x5=15
a=15
b=4k=4x5=20
b=20
c=5k=5x5=25
c=25

verificare
15+20+25=60