Question

The number of boys and girls in a class are in the ratio $5:4.$ If the number of boys is$9$ more than the number of girls, then number of boys is$9.$ State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

The number of boys and girls in a class is in the ratio of $5:4$

Let us assume the number of boys be $5n$ and the number of girls is $4n$.

From the given details

$$\begin{gathered} 5n–4n=9 \\ n=9 \end{gathered}$$

$\therefore$Number of boys$=5n=5\times 9=45$ boys

Number of girls $=4n=4\times 9=36$ girls.

Hence, the required answer is ‘False ’ .