A number whose one-fourth is increased by 5 is equalto the third part diminished by 5 is
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Just write an equation of what it says:
:
1/5 x + 5 = 1/4 x - 5
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Add 5 to both sides and you have:
1/5 x + 10 = 1/4 x
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Multiply equation by 20 to get rid of the denominators:
20*1/5 x + 20(10) = 20*1/4 x
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cancel out the denominators
4x + 200 = 5x
:
200 = 5x - 4x
:
x = 200
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You can check solution by substituting 200 for x in the original equation
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