Chapter 7, Problem 3CT

To determine

To find: The value of x and y.

Answer to Problem 3CT

  $x=20,y=30$

Explanation of Solution

Given information:

$x:y:z=4:6:9$ and $z=45$

Calculation:

Let the common factor be a.

Then, $x=4a,y=6a,z=9a$

Given, $z=45$

  $\begin{array}{l}\Rightarrow 9a=45\\ \Rightarrow a=\frac{45}{9}\\ \Rightarrow a=5\end{array}$

Then, $x=4a=4\times 5=20$

  $y=6a=6\times 5=30$

Thus, $x=20,y=30$