Question

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

Answer 1

Answer:

The answer is 80.

Step-by-step explanation:

let the number be x

4/5x-3/4x=4

x = 80

Answer 2

Answer:

The required number = 80

Step-by-step explanation:

Let the required number be x.

Then according to the question,

(4/5 • x) = (3/4 • x) + 4

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

=> (4x / 5) = {(3x + 16) / 4}

By cross - multiplication of L.H.S. and R.H.S. , we get

=> 4(4x) = 5(3x + 16)

=> 16x = 15x + 80

=> 16x - 15x = 80

=> x = 80

Hence,the required number = 80

VERIFICATION :

By replacing x with 80 ,we get

4/5 • 80 = (3/4 • 80) + 4

=> 4 • 16 = (3 • 20) + 4

=> 64 = 60+ 4

=> 64 = 64

Here L.H.S. = R.H.S.

Hence,the condition of the question is completely satisfied.

Thus, the required number = 80.