Question

a number whose fifth part is increased by 5 is equal to its fourth part diminished by 4 find the number​

Answer 1

Step-by-step explanation:

let number be x

fifth part =x/5

increases by 5 =x/5 +5

fourth part =x/4

diminish by 4 =x/4 -4

x/5 +5 = x/4 -4

x/4 -x/5 =5+4

x/4 - x/5 =9

take LCM

5x-4x/20 =9

x/20=9

x=20×9

x=180 is answer obtained

Answer 2

$\huge\textbf\color{red}{Answer }$

Let the required number be x

Fourth part of this number by 4

$= \frac{x}{5} + 4$

Fourth part of this number decreased by 10

$= \frac{x}{4} - 10$

According to given condition, we have :

$\frac{x}{5} + 4 = \frac{x}{4} - 10 = > \frac{x}{4} - \frac{x}{5} = 4 + 10 = > \frac{5x - 4x}{20} = 4$

$= > 5x - 4x = 14 \times20 = > x = 280$

Hence, the required answer is 280.

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