Question

Four fifth of a number is more than three fourth of the number by $4$. Find the number.

Answer 1

Calculate the number with the given conditions

Let $x$ be the number.

We have,

$$\begin{gathered} \frac{4}{5}x=\frac{3}{4}x+4 \\ \Rightarrow \frac{4}{5}x-\frac{3}{4}x=4 \\ \Rightarrow \frac{4\times 4-3\times 5}{5\times 4}x=4 \\ \Rightarrow \frac{1}{20}x=4 \\ \Rightarrow x=80 \end{gathered}$$

Therefore, the number is $80$.