Question

It is known that 20 : 25 and 16 : X are equivalent ratios. What is the value of X?

• A. 20
• B. 18
• C. 22
• D. 24

Answer 1

The correct option is A 20

We know,
Equivalent ratios have the same simplest form.
We know, 20 = $4\times 5$ and
25 = $5\times 5$

We can write 20 : 25 as $\frac{20}{25}$
$\frac{20}{25}$ = $\frac{(4\times 5)}{(5\times 5)}$
$\Rightarrow$ $\frac{4}{5}$
$\therefore$ 16 : X $\Rightarrow$ $\frac{16}{X}=\frac{4}{5}$
80 = 4X $\Rightarrow$ X = 20