Question

con procedimiento porfa

Answer 1

Solución:

Utilizar:  x / y = z / w = u / t = k
(x + y) / (x - y) = (z + w) / (z - w) = (u + t) / (u - t) = (k + 1) / (k - 1) 

(40 + a) / (40 - a) = (32 + b) / (32 - b) = (72 + c) / (72 - c) = (k + 1) / (k - 1) 
40 / a = 32 / b = 72 / c = k

a = 40 / k
b = 32 / k
c = 72 / k

a + b + c = 10 + k
40 / k + 32 / k + 72 / k = 10 + k
144 / k = 10 + k
144 = k(10 + k) 
k(10 + k) = 144
k(10 + k) = 8(18)
k(10 + k) = 8(10 + 8)
k = 8

a = 40 / k = 40 / 8 = 5
b = 32 / k = 32 / 8 = 4
c = 72 / k = 72 / 8 = 9

E = a / b + c / (a - 1)
E = 5 / 4 + 9 / (5 - 1)
E = 5 / 4 + 9 / 4
E = 14 / 4

E = 7 / 2