Question

Find the ratio of x to y
x/5 = 2/3 = 5/y

Answer 1

X=2
-- ---
5 3
Cross multiply:
3x=10
x=10/3

2=5
-- ---
3 y
2y=15
y=15/2
10/3=15/2 :)

Answer 2

`(x)/(y)` =
`(4)/(9)`.

Explanation:

Given :
`(x)/(5) =(2)/(3) = (5)/(y)`.

To find : find the ratio of x to y.

Solution : We have given

`(x)/(5) =(2)/(3) = (5)/(y)`.

On taking

`(x)/(5) =(2)/(3)`.

On cross multiplication

3x = 5 *2

3x = 10

x =
`(10)/(3)`.

Now, taking
`(2)/(3) = (5)/(y)`.

On cross multiplication

2y = 15 .

y =
`(15)/(2)`.

Then ,

`(x)/(y)` =
`((10)/(3))/((15)/(2))`.

`(x)/(y)` =
`(20)/(45)`.

On simplification

`(x)/(y)` =
`(4)/(9)`.

Therefore,
`(x)/(y)` =
`(4)/(9)`.