Question

Question 14

Find the missing number in the box in each of the proportions:

$\frac{\square }{45}=\frac{16}{40}=\frac{24}{\square }$

Answer 1

We have,$\frac{?}{45}=\frac{16}{40}=\frac{24}{?}$

$\frac{2}{5}$ is the simplest form of all the three ratio.
For first 2 ratios, $\frac{16}{40}=\frac{2\times 8}{5\times 8}=\frac{2\times 9}{5\times 9}=\frac{18}{45}$
Hence, missing number = 18
For last 2 ratios,
$\frac{16}{40}=\frac{2\times 8}{5\times 8}=\frac{2\times 12}{5\times 12}=\frac{24}{60}$
Hence, missing number = 60