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