<PRE><B>Question 99703</B>
find the no. whose fifth part increased by 5 is equal to its fourth part diminished by 5
Just write an equation of what it says:
:
{{{1/5}}}x + 5  =  {{{1/4}}}x - 5
:
Add 5 to both sides and you have:
{{{1/5}}}x + 10  =  {{{1/4}}}x
:
Multiply equation by 20 to get rid of the denominators:
20*{{{1/5}}}x + 20(10)  =  20*{{{1/4}}}x
:
cancel out the denominators
4x + 200 = 5x
:
200 = 5x - 4x
:
x = 200
:
You can check solution by substituting 200 for x in the original equation
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