Question

Numerele naturale x,y,z sunt direct proportionale cu 3,4,5.Aflati numerele ,stiind ca x+2y+3z=78.

•••••••DAU 30 DE PUNCTE••••••••

Answer 1

Răspuns

x\3=y\4=z\5=k ;x=3k ;y=4k ;z=5k  3k+8k+15k=78 ;26k=78 ;k=78:26=3 ;                x=3.3=9 ;y=3.4=12 ;z=3.5=15

Explicație pas cu pas:

Answer 2

x/3=y/4=z/5=k

x=3k

y=4k

z=5k

x+2y+3z=78

3k+2×4k+3×5k=78

3k+8k+15k=78

26k=78

k=78:26

k=3

x=3×3

x=9

y=4×3

y=12

z=5×3

z=15