Question

Suma numerelor x, y si z, este2020. Aflați numerele x, y, z daca:a) x/100=y/52=z/50; b) x/3,5=y/6,5=z/91.va rog repedeee!!! ​

Answer 1

Răspuns:

Explicație pas cu pas:

x+y+z = 2020

x/100 = y/52 = z/50

y = 52x/100 ; z = 50x/100

¹⁰⁰⁾x + 52x/100 + 50x/100 = ¹⁰⁰⁾2020

100x + 52x + 50x = 202000 =>

202x = 202000 => x = 202000/202 =>

x = 1000 ; y = 520 ; z = 500

x+y+z = 2020

x/3,5 = y/6,5 = z/91 =>

y = 6,5x/3,5 ; z = 91x/3,5 =>

³'⁵⁾x + 6,5x/3,5 + 91x/3,5 = ³'⁵⁾2020 =>

3,5x + 6,5x + 91x = 3,5·2020 = 7070 =>

101x = 7070 => x = 7070:101 => x = 70

y = 6,5·70/3,5 = 455/3,5 => y = 130

z = 91·70/3,5 = 91·20 = > z = 1820