The fifth part of a number when increased by 5 equals its fourth part

1.	The fifth part of a number when increased by 5 equals its fourth part decreased by 5. Find the number.
Answer» Let the required number be x.Then, = (x/5) + 5 = (x/4) – 5 Transposing (x/4) to LHS and it becomes – (x/4) and 5 to RHS it becomes -5 = (x/5) – (x/4) = -5 – 5 = (4x – 5x)/20 = -10 = -x/20 = -10 Multiplying both side by (-20) = (-x/20) × (-20) = (-10) × (-20) = x = 200 ∴ The required numbers are 200

The fifth part of a number when increased by 5 equals its fourth part decreased by 5. Find the number.

Answer»

Let the required number be x.Then,

= (x/5) + 5 = (x/4) – 5

Transposing (x/4) to LHS and it becomes – (x/4) and 5 to RHS it becomes -5

= (x/5) – (x/4) = -5 – 5

= (4x – 5x)/20 = -10

= -x/20 = -10

Multiplying both side by (-20)

= (-x/20) × (-20) = (-10) × (-20)

= x = 200

∴ The required numbers are 200