Question

two consecutive natural numbers are such that one fourth of the smaller exceeds one fifth of the greater by 1. find the numbers

Answer 1

let the smaller number = x
larger number = x+1

According to question,

x/4 - (x+1)/5 = 1

{5x - 4(x+1)}/20 = 1

5x - 4x - 4 = 20×1

x - 4 = 20

x = 4+20 = 24

smaller number= 24
larger number = 24+1 = 25

Answer 2

It will be easier to balance and equalise both