Question

If one - fourth of a numberis 3 more than one-fifth of its successor. find the numbers

Answer 1

soln,

`(x)/(4) = 3 + (x)/(5) + 1`

`or \: (x)/(4) = 4 + (x)/(5)`

`or \: (x)/(4) = (20 + x)/(5)`

`or \: 5x = 80 + 4x`

`or \: 5x - 4x = 80`

`therefore \: \: x = 80`

therfore, the numbers are 80 and (80+1) = 81.