Question

If 2/3 = x/y, then which of the following must be true?

O (2 + x)/3 = (x + 2)/y
3/2 = x/y
(2 + 3)/3 = (x + y)/y
(2 + 1)/3 = (x + 1)/y

Answer 1

Correct option is third
`(2+3)/(3)=(x+y)/(y)`

Solution:

Given that:

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

Need to check which of the expression from given four expressions will be true.

Let's first try to eliminate wrong options.

If we observe carefully, we can say that option 2 that is
`(3)/(2)=(x)/(y)` is not correct as
`(x)/(y)` must be equal to
`(2)/(3)` and not
`(3)/(2)`

Lets now modify given expression that is:

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

On adding 1 to both sides we get

`(2)/(3)+1=(x)/(y)+1`

`=>(2+3)/(3)=(x+y)/(y) \text { which is same as third option. }`

Hence correct option is third one that is
`(2+3)/(3)=(x+y)/(y)`