Question 637934

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

four-fifths of a number is {{{(4/5)x}}}

and it is {{{10}}} more than two-third of the number {{{(2/3)x}}}

so, you have

{{{(4/5)x=(2/3)x+10}}}.....both sides multiply by common denominator which is {{{15}}}

{{{15(4/5)x=15(2/3)x+10*15}}}

{{{cross(15)3(4/cross(5)1)x=cross(15)5(2/cross(3)1)x+150}}}

{{{3*4x=5*2x+150}}}

{{{12x=10x+150}}}

{{{2x=150}}}

{{{x=75}}}