<PRE><B>Question 972457</B>
When four-sevenths of a number is subtracted from the number,
 the result is two less than one-half of that number.
 Find the number.
:
let n = the number
write an equation for what it says
n - {{{4/7}}}n  = {{{1/2}}}n - 2
write it
{{{7/7}}}n - {{{4/7}}}n  = {{{1/2}}}n - 2
 {{{3/7}}}n  = {{{1/2}}}n - 2
multiply equation 14, cancel the denominators
2(3n) = 7n - 14(2)
6n = 7n - 28
28 = 7n - 7n
n = 28
:
:
You can confirm this solution in the original equation
28 - {{{4/7}}}(28)  = {{{1/2}}}(28) - 2</PRE>