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suma a patru numere este 5. stiind ca ele sunt invers proporetionalecu numerele 1/2; 1/3; 0,4; 0,2, aflati numerele

Răspuns :

0,4=4/10=2/5
0,2=2/10=1/5
a×1/2=k   a=2k
b×1/3=k   b=3k
c×2/5=k   c=5k/2
d×1/5=k   d=5k
a+b+c+d=5
2k+3k+5k/2+5k=5
10k+5k/2=5
20k+5k=10
25k=10
k=10/25
k=2/5
a=2k=2*2/5=4/5 =0,8
b=3k=3*2/5=6/5=1,2
c=5k/2=[5*2/5]/2=1
d=5k=5*2/5=2