Question

Write true or false against each of the following statement: $8:9::24:27$

• A. True
• B. False

Answer 1

The correct option is A True

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}8\mathrm{and}9& =& \frac{8}{9}\\ & =& 8:9\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}24\mathrm{and}27& =& \frac{24}{27}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}3\\ & =& \frac{8}{9}\\ & =& 8:9\end{array}$

We get, $8.9=24:27$

Hence, $8:9::24:27$ is true.