Question

Write true or false against each of the following statements: $16:24::20:30$

• A. True
• B. False

Answer 1

The correct option is A True

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}16\mathrm{and}24& =& \frac{16}{24}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}8\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}20\mathrm{and}30& =& \frac{20}{30}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}10\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

Here, $16:24=20:30$

Hence, $16:24::20:30$ is true.