Question 913232

let's number be {{{x}}}

One-fifth of a  number: {{{(1/5)x}}}

one-sixth of the number:{{{ (1/6)x}}}

if one-fifth of a  number is two more than one-sixth of the number, than we have

{{{(1/5)x=(1/6)x+2}}}

{{{(1/5)x-(1/6)x=2}}}

{{{(1*6/5*6)x-(1*5/6*5)x=2}}}

{{{(6/30)x-(5/30)x=2}}}

{{{(6/30-5/30)x=2}}}

{{{(1/30)x=2}}}

{{{x=2*30}}}

{{{x=60}}}

check:
{{{(1/5)x=(1/5)60=12}}}
{{{(1/6)x=(1/6)60=10}}}

true because {{{12}}} is {{{2}}} more than {{{10}}}