Question

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

Answer 1

Step-by-step explanation:

Let the number be x

(4/5 of x) = (3/4 of x) + 4

(4/5 × x) = (3/4 × x) + 4

4x/5 = 3x/4 + 4

4x/5 - 3x/4 = 4

(4x/5 - 3x/4) = 4

taking L.C.M of denominators 5 & 4 = 20

{(4x×4)/(5×4) - (3x×5)/(4×5)} = 4

{ 16x/20 - 15x/20 } = 4

1x/20 = 4

or

x/20 = 4

(usually we don't write 1 because x × 1 = x ; just like 2 × 1 = 2)

x = 4×20

x = 80

Answer 2

Answer:

• 80

Step-by-step explanation:

Let the number be x

• (4/5 of x) = (3/4 of x) + 4

• (4/5 × x) = (3/4 × x) + 4

• 4x/5 = 3x/4 + 4

• 4x/5 - 3x/4 = 4

• (4x/5 - 3x/4) = 4

taking L.C.M of denominators 5 & 4 = 20

• {(4x×4)/(5×4) - (3x×5)/(4×5)} = 4

• { 16x/20 - 15x/20 } = 4

• 1x/20 = 4

or

• x/20 = 4

(usually we don't write 1 because x × 1 = x ; just like 2 × 1 = 2)

• x = 4×20

• x = 80