Question 123268
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Solution
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Let x be the number.
One fourth of the number is then {{{x/4}}}
One fifth of the number is {{{x/5}}}

But {{{x/4=(x/5)+2}}} because 'one fourth of a number <b><i>is two more</b></i>'


Now solve.


First we need a common denominator.  The best we can do is 4 * 5 = 20.


{{{x/4=(x/5)+2}}}
{{{5x/20=(4x/20)+40/20}}}

Multiply both sides by 20
{{{5x=4x+40}}}


Add {{{-4x}}} to both sides
{{{5x-4x=4x-4x+40}}}
{{{x=40}}}


So the number is 40
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Check Answer
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<p style="font: courier">
One fourth of 40 is 10
One fifth of 40 is 8
10 is 2 more than 8.  Answer checks.
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