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in Linear Equations by (35.0k points)
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Four-fifth of a number is more than three-fourth of the number by 4. Find the number

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Best answer

Let the number is  x

According to the question:

Three-fourth of the number is = \(\frac{3x}4\)

Fourth-fifth of the number is = \(\frac{4x}5\)

\(\frac{4x}5\) - \(\frac{3x}4\) = 4

LCM of 5 and 4 is 20

\(\frac{16x-15x}{20}=4\)

x = 80

Therefore number is 80

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