Question

$Ifx:y=5:4and2:x=3:8,findthevalueofy.$

Answer 1

Step 1: Finding the value of y

We have,

x : y = $5:4$
$\Rightarrow \frac{x}{y}=\frac{5}{4}$ $\cdots \cdots \left(1\right)$

2 : x = $3:8$
$\Rightarrow \frac{2}{x}=\frac{3}{8}$ $\cdots \cdots \left(2\right)$
Now, Multiplying equation (1) with equation (2), we get
$\frac{x}{y}\times \frac{2}{x}=\frac{5}{4}\times \frac{3}{8}$
$\Rightarrow \frac{2}{y}=\frac{15}{32}$
$\Rightarrow y=\frac{64}{15}=4\frac{4}{15}$

Hence, the value of y is $4\frac{4}{15}$.