Question

2/3 of a number is less than the original number by 20.find the number​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The number is 60

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

$\dfrac{2}{3}$ of a number = 20 less than the number

To find :

The number

Solution :

Consider the number as x

★ Equation : $\boxed{\sf{ \frac{2}{3} \: of \: x = x - 20}}$

$\sf{\implies} \: \dfrac{2}{3} \: of \: x = x - 20$

$\sf{\implies} \: \dfrac{2}{3}x = x - 20$

$\sf{\implies} \: 2x = 3(x - 20)$

$\sf{\implies} \: 2x = 3x - 60$

$\sf{\implies} \: 3x - 2x = 60$

$\sf{\implies} \: x = 60$

$\therefore$ The number is 60

$\rule{300}{1.2}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: \dfrac{2}{3} \times 60 = 60 - 20$

$\sf{\implies} \: \dfrac{120}{3} = 40$

$\sf{\implies} \: 40 = 40$

$\therefore$ The number is 60

Answer 2

Answer:

The number is 60.

Explanation:

Given,

2/3 of x = 20 less than the number.

Let the number be x.

According to the given information.

The equation = 2/3 of x = x - 20

=> 2/3 of x = x - 20

=> 2/3 x = x - 20

=> 2x = 3(x - 20)

=> 3x -2x = 60

=> x = 60

.°. x = 60

Therefore, the number is 60.