Question

determinati nr nat x,y,z. stiind ca sunt indeplinite conditiile 1) x/2=y/3, 2)y/6=z/8, 3) x/2+y/3+z/4=90

Answer 1

x/2=y/3=k deci x=2k si y=3k
 y/6=z/8 deci 3k/6=z/8 deci k/2=z/8, z=8k/2, z=4k
 x/2+y/3+z/4=90
2k/2+3k/3+4k/4=90
k+k+k=90
3k=90
k=30
x=60
y=90
z=120