Question

a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 find the number

Answer 1

Answer: X = 200

Step-by-step explanation:

Let number be 'X'

> It's fifth part = X/5

> Fourth part = X/4

X/5 + 5 = X/4 - 5

> (X + 25) / 5 = (X -20) / 4

> 4(X + 25) = 5(X - 20)

> 4X + 100 = 5X - 100

> 5X - 4X = 200

> Hence, X = 200 <

Answer 2

"The number is 200.

To find:

The number = ?

Solution:

Let the number be 'X'.

It's$\quad fifth\quad part\quad =\quad \frac { X }{ 5 }$

$Fourth\quad part\quad =\quad \frac { X }{ 4 }$

$\frac { X }{ 5 } \quad +\quad 5\quad =\quad \frac { X }{ 4 } \quad -\quad 5$

$\frac { \left( X\quad +\quad 25 \right)}{ 5 } \quad =\quad \frac { \left( X\quad -\quad 20 \right)}{ 4 }$

4(X + 25) = 5(X - 20)

4X + 100 = 5X - 100

5X - 4X = 200

Hence, X = 200 "