Question

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

Answer 1

let number be x
fifth part =x/5
increased by5
=x/5 +5
fourth part=x/4
diminished by 5
=x/4-5
x/5+5=x/4 -5
x/4-x/5 =5+5
5×x-4×x/20 =10
x/20=10
x=20×10
x=200 is answer