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

8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5 . find the number

the number = X

fifth part = X/5

fifth part is increased by 5 = X/5 + 5

fourth part = X/4

fourth part diminished by 5 = X/4 - 5

fifth part is increased by 5 is equal to its fourth part diminished by 5

X/5 + 5 = X/4 - 5

X/5 - X/4 =  - 5 - 5

(4X - 5X)/20 =  - 10

- X/20 =  - 10

X =  200

Check:

X/5 + 5 = X/4 - 5

200/5 + 5 = 200/4 - 5

40 + 5 = 50 - 5

45 = 45

2 : 5 and 12 : 30

Step-by-step explanation:

Just multiply or divide both of them.