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If 1/5 of a number is subtracted from 1/...

If `1/5` of a number is subtracted from `1/3` of the number, the result is 25 greater than `1/20` of the number. Find the number.

Text Solution

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Let the number is x.
1/5 of a number= x/5
1/3 of a number= x/3
1/(20) of a number = x/(20)
1/5 of a number is subtracted from 1/3 of the number, the result is 25 greater than 1/(20) of the number
`:. x/3 - x/5 = x/(20)+25`
`:. (5x - 3x)/(15) = (x+500)/(20)`
`:. (2x)(20)/(15) = x+500`
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