Question

determinati numerele x y z stiind ca sunt invers proportionale cu 2 4 5 si x+y+z=361

Answer 1

{x, y, z} ip{2,4,5}
x+y+z =361
x×2= y×4=z×5=k
x=k/2
y=k/4
z=k/5
k/2+k/4+k/5=361
(10k+5k+4k) /20= 361
19k/20= 361
k = (20×361)/19
k=380
x=380/2 =190
y=380/4= 95
z=380/5= 76