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valentinak56 [21]
3 years ago
6

One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number. ​

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

Let x be the unknown number. One fifth of this number is x/5, one fourth of this number is x/4. So, we have

\dfrac{x}{4}-\dfrac{x}{5} = \dfrac{5x-4x}{20} = \dfrac{x}{20}

We know that this difference equals 9, so we have

\dfrac{x}{20}=9

Multiply both sides by 20 to get

x=180

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