Four fifth of a number is more than three fourth of the number by 4. find the number

Let the number be n.

Four fifths of the number is 4n/5.

Three fourths of the number is 3n/4.

Four fifths of a number is more than three fourths of the number by 4.

4n/5 = 3n/4 + 4

20 * 4n/5 = 20 * 3n/4 + 20 * 4

16n = 15n + 80

n = 80

Let's check.

4/5 of 80 = 4/5 * 80 = 64

3/4 of 80 = 3/4 * 80 = 60

64 is indeed 4 more than 60 showing that 4/5 of 80 is 4 more than 3/4 of 80, so 80 is correct.

80

b

2

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b

b

3

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7

b

2

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14

b

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6

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−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

9

step-by-step explanation: