Question 824709
{{{x}}}= the number
half the number ={{{(1/2)*x}}}
one fourth the number ={{{(1/4)*x}}}
the difference ={{{(1/2)*x-(1/4)*x}}}
 
The equation to solve is
{{{(1/2)*x-(1/4)*x=4}}}
 
Solving:
{{{(1/2)*x-(1/4)*x=4}}}
{{{(1/2-1/4)*x=4}}} after taking out {{{x}}} as a common factor
{{{(2/4-1/4)*x=4}}}
{{{(1/4)*x=4}}}
{{{4*(1/4)*x=4*4}}} after multiplying both sides times 4
{{{(4/4)*x=16}}}
{{{highlight(x=16)}}}
 
Verifying:
{{{16}}}= the number
half the number ={{{(1/2)*16=16/2=8}}}
one fourth the number ={{{(1/4)*16=16/4=4}}}
the difference ={{{8-4=4}}}