The sum of two numbers is 5/9....

Question

The sum of two numbers is $\frac{5}{9}$. The quotient of the two numbers is $1$. What is the product of $40$% of each number?

The answer I got was $\frac{1}{81}$. I don't understand this - would someone mind explaining it to me? Thanks a ton for your time!

I have tried:
$x+y=\frac{5}{9}$
$\frac{x}{y} = 1$
But then I don't know what to do after this :/

Answer 1

Hint. You have $$ x+x=\frac59 $$ (why?)

Now you are asked to evaluate $(0.40 \times x) \times (0.40 \times y)=\frac25 \times \frac25 \times x^2$ (why?).

Answer 2

Hint:$$\begin{cases} x+y=\frac59 \\ \frac{x}{y}=1 \end{cases}$$ $$\begin{cases} x+y=\frac59 \\ x=y \end{cases}$$ $$\begin{cases} x=... \\ y=... \end{cases}$$ $N=0.4x\cdot 0.4y=...$