Respuesta :

  • Let numbers be 4x,5x,6x

ATQ

[tex]\\ \sf\longmapsto 4x+6x=5x+55[/tex]

[tex]\\ \sf\longmapsto 10x=5x+55[/tex]

[tex]\\ \sf\longmapsto 10x-5x=55[/tex]

[tex]\\ \sf\longmapsto 5x=55[/tex]

[tex]\\ \sf\longmapsto x=11[/tex]

  • 5x=55

Step-by-step explanation:

[tex] \huge \color {brown} \boxed { \colorbox {black}{ ANSWER }}[/tex]

Let us assume the ratio's as 4x, 5x and 6x.

A.T.Q

6x+4x=5x+55

→ 10x = 5x + 55

→ 10x - 5x = 55

→ 5x = 55

→ x = [tex]\frac{55}{5}[/tex]

x = 11

Therefore,

First no. = 4x = 4 × 11 = 44

Second no. = 5x = 5 × 11 = 55

Third no. = 6x = 6 × 11 = 66

Hence the three numbers are 44,55 and 66.