Question

Aunknown number aris 2/7 of y, while 5/9 is 3/4 of y. Whatis the value of x

Answer 1

To find the value of \( x \), we first need to express \( x \) in terms of \( y \) based on the information provided.

We know two relationships involving \( y \):

1. \( x = \frac{2}{7}y \)
2. \( \frac{5}{9} = \frac{3}{4}y \)

From the second equation, we need to solve for \( y \):

\[
\frac{5}{9} = \frac{3}{4}y
\]

To eliminate the fraction, we can cross-multiply:

\[
5 \times 4 = 9 \times 3y
\]

This simplifies to:

\[
20 = 27y
\]

Now, we can solve for \( y \):

\[
y = \frac{20}{27}
\]

Now, we can substitute this value of \( y \) back into the equation for \( x \):

\[
x = \frac{2}{7}y = \frac{2}{7} \times \frac{20}{27}
\]

Calculating \( x \):

\[
x = \frac{2 \times 20}{7 \times 27} = \frac{40}{189}
\]

Thus, the value of \( x \) is

\[
\boxed{\frac{40}{189}}
\]