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

Explanation

Let the number`=x`
According to the question:
fifth part increased by `5=x/5+5`
Fourth part diminished by `5=x/4−5`
According to the question:
`x/5+5=x/4−5`
`x/5+5=x/4−5`
`x/5−x/4=−5−5`
`(4x−5x)/20=-10`
`-x/20=−10`
`x=−10times-20=200`
`therefore` The number`=200`