Find the number whose fifth part increased by 5 is equal to its fourth

1.	Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
Answer» Let the number be x. According to the question we can write as (1/5) x+5 = (1/4) x – 5 On rearranging (1/5) x – (1/4) x = -5-5 (1/5) x – (1/4)x =-10 By taking L.C.M we get (4x-5x)/20=-10 Again by transposing x= 200

Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.

Answer»

Let the number be x.

According to the question we can write as

(1/5) x+5 = (1/4) x – 5

On rearranging

(1/5) x – (1/4) x = -5-5

(1/5) x – (1/4)x =-10

By taking L.C.M we get

(4x-5x)/20=-10

Again by transposing

x= 200