Question

$\frac{4}{5}$ of a number is $5$ more than $\frac{3}{4}$ of the number. Find the number.

Answer 1

Finding the number

Let the number be $x$

According to the question is :-

$$\begin{gathered} \frac{4x}{5}-5=\frac{3x}{4} \\ \Rightarrow \frac{4x}{5}-\frac{3x}{4}=5 \\ \Rightarrow \frac{4x\times 4}{5\times 4}-\frac{3x\times 5}{4\times 5}=5[TakingLCM] \\ \Rightarrow \frac{16x}{20}-\frac{15x}{20}=5 \\ \Rightarrow \frac{x}{20}=5 \\ \Rightarrow x=5\times 20 \\ \Rightarrow x=100 \end{gathered}$$

Hence, the required number is $100$