Question 988602
If the greatest of the 3 parts is {{{x}}} , the parts are
{{{x}}} , {{{(2/3)x}}} , and {{{(3/4)x}}} , and
{{{x+(2/3)x+(3/4)x=87}}}<-->{{{(1+2/3+3/4)x=87}}} is our equation.


{{{(1+2/3+3/4)x=87}}}<-->{{{(12/12+8/12+9/12)x=87}}}<-->{{{(29/12)x=87}}}
Multiplying both sides of the equal sign times {{{12/29}}} ,
or dividing both sides by {{{29/12}}} (same thing), we get
{{{(12/29)*(29/12)x=(12/29)*87}}}-->{{{x=(12/29)*(3*29)}}}-->{{{x=12*3*29/29}}}-->{{{x=12*3}}}-->{{{x=36}}} .
The other two parts 87 was divided into are
{{{(3/4)x=(3/4)36=27}}} , and
{{{(2/3)x=(2/3)36=highlight(24)}}} .