Question

Suma nr x,y si z este 78.000.Stiind ca x supra 14 este egal cu y supra 42 si y supra 18 este egal cu z supra 15 aflati nr x,y si z

Answer 1

x+y+z=78000

x/14 = y/42, -> x = y/3 -> y=3x

y/18 = z/15, -> y = 18z/15 = 6z/5 -> z=5y/6=5*3x/6=5x/2

x+y+z = x+3x+5x/2 = 78000

4x + 5x/2 = 78000

13x = 2 * 78000

x = 2 * 78000 / 13 = 2 * 6000 = 12000

x=12000

y=3x=36000

z=5x/2=5*12000/2=30000

z=30000