Question

Four - fifth of a number is more than three - fourth of a number by 4. Find the number.​

Answer 1

Let the required number be 'x', then four fifths of the number =4/5x

And three fourths of the number =3/4x

It is given that 4/5x is greater than 3/4x by 4

$\frac{4}{5} x - \frac{3}{4}x \: = 80 \\ \\ \frac{16x - 15x}{20} = 4 \\ \\ \frac{x}{20} = 4 \\ \\ x = 80$

hence the required number is 80.

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Answer 2

Let the required number be x , then

• $\bold{Four - fifth \: of \: a \: number = \frac{4}{5}x }$

• $\bold{three - fourth \: of \: a \: number = \frac{3}{4} x}$

A/q

Four - fifth of a number is greater than three - fourth of a number by 4

$\bold{ \implies \: \frac{4}{5}x - \frac{3}{4} x = 4 }$

$\bold{ \implies \: \frac{4 (4 x)- 5 ( 3x)}{20} =4}$

$\bold{ \implies \: \frac{16x - 15 x}{20} =4 }$

$\bold{ \implies \: \frac{ x}{20} =\:4}$

$\bold{ \implies \: x =4 \times 20}$

$\bold{ \implies \:x = 80 }$

Hence ,required number = 80