Question

Na série de razões a/18 = b/1,5 = x/y, sabendo que a+b=13 e y-x=1. Calcule o valor de x e y.

Answer 1

a / 18 = b = 1,5 = x / y

( a + b ) / ( 18 + 1,5 ) =
13 / 19,5

a/ 18 = 13 / 19,5
19,5a = 18*13
19,5a = 234
a= 234 / 19,5
a = 12

a + b = 13
12 + b = 13
b = 13 - 12
b = 1

x / y = 12 / 18 ( simplificar )
x / y = 2 / 3
y / x = 3 / 2
( y - x ) / y = (3 - 2) / 3
1 / y = 1 / 3
y = 1*3
y = 3

y - x = 1
3 - x = 1
- x = 1 - 3
-x = - 2
x = 2