La suma de 2 numeros es 40 y 2 / 7 del mayor equivalen a 2 / 3 del menor?

X = Numero Menor

Y = Numero Mayor

X + Y = 40 ; Y = 40 - X

Condicion

(2 / 7)Y = (2 / 3)X

(2 / 7)(40 - X) = (2 / 3)X

80 / 7 - (2 / 7)X = (2 / 3)X

80 / 7 = (2 / 3)X + (2 / 7)X <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B7%7D%3D%20%5Cfrac%7B14%2B6%7D%7B21%7DX%20%20" />

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B7%7D%3D%20%5Cfrac%7B20%7D%7B21%7DX%20%20" />

(80)(21) = (7)(20)X

1680 = 140X

X = (1680) / (140) = 12

X = 12

Y = 40 - X ; Y = 40 - 12 = 28

Los numeros son 28 y 12.