Question

4/5 of a number is 20 less than original number. Find the number

Answer 1

Answer:

the number = 100

Step-by-step explanation:

let number be A.

$\frac{4}{5} A= A -20\\20 = A - \frac{4}{5} A\\Taking LCM on RHS\\20 = \frac{A}{5} \\Taking 5 on LHS \\100 = A$

Answer 2

Answer:

The number is 100.

Step-by-step explanation:

Let the number be $x$. We can formulate an equation in $x$ using the given condition. It is given that $\dfrac{4}{5}$ of $x$ is 20 less than $x$. That is

$\dfrac{4}{5}x=x-20$

On solving the above equation, we get,

$\dfrac{4}{5}x-x=-20\\\implies \dfrac{4x-5x}{5}=-20\\\\\implies-x=-20(5)\\\implies x=100$

So the number satisfying the given condition is 100.