Question

Determinati numerele x,y si z direct proportionale cu numerele 4,5 si 6 stiind ca suma lor este egala cu: a)60 b)75 c)90

Answer 1

{x,y,z} d.p. {4,5,6}
a)
x+y+z=60
x/4=y/5=z/6=k=>x=4k,y=5k,z=6k
4k+5k+6k=60
15k=60 /:15
k=4=>x=16,y=20,z=24
b)
x+y+z=75
x/4=y/5=z/6=k=>x=4k,y=5k,z=6k
4k+5k+6k=75
15k=75 /:15
k=5=>x=20,y=25,z=30
c)
x+y+z=90
x/4=y/5=z/6=k=>x=4k,y=5k,z=6k
4k+5k+6k=90
15k=90 /:15
k=6=>x=24,y=30,z=36