Question

If $\frac{2}{9},\frac{4}{x}$, and $\frac{5}{y}$ are like fractions, then the value of $x+y$ is ____ .

• A. $9$
• B. $12$
• C. $99$
• D. $18$

Answer 1

The correct option is D $18$

If $\frac{2}{9},\frac{4}{x}$ and $\frac{5}{y}$ are like fractions, then these fractions will have the same denominators.
So the given fractions are $\frac{2}{9},\frac{4}{9},$ and $\frac{5}{9}$

$\therefore \text{The value of x and y is equal to}9$
$\Rightarrow x=y=9$

$\therefore x+y=9+9=\underset{–}{18}$