<PRE><B>Question 161028</B>
two less than one third of a number equals 3 more than fourth of the number. find the number
{{{1/3}}}x - 2 = {{{1/4}}}x + 3
Add 2 to both sides:
{{{1/3}}}x = {{{1/4}}}x + 3 + 2
{{{1/3}}}x = {{{1/4}}}x + 5
Multiply equation by 12 to get rid of the denominators:
12*{{{1/3}}}x  = 12* {{{1/4}}}x + 12(5)
Results:
4x = 3x + 60
4x - 3x = 60
x = 60
:
:
Check solution original equation:
{{{1/3}}}(60) - 2 = {{{1/4}}}(60) + 3
20 - 2  = 15 + 3</PRE>