Question

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

Answer 1

Correct option is third $\frac{2+3}{3}=\frac{x+y}{y}$

Solution:

Given that:

$\frac{2}{3}=\frac{x}{y}$

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 $\frac{3}{2}=\frac{x}{y}$ is not correct as $\frac{x}{y}$ must be equal to $\frac{2}{3}$ and not $\frac{3}{2}$

Lets now modify given expression that is:

$\frac{2}{3}=\frac{x}{y}$

On adding 1 to both sides we get

$\frac{2}{3}+1=\frac{x}{y}+1$

$=>\frac{2+3}{3}=\frac{x+y}{y} \text { which is same as third option. }$

Hence correct option is third one that is $\frac{2+3}{3}=\frac{x+y}{y}$