Question

One-fourth of a number is 3 more than one-seventh of the same number.
What is the number?

Answer 1

i set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.

Answer 2

One-fourth of a number is three more than one-seventh of same number.The required number is 28.

Solution:

Let’s assume require number be x

One fourth of a number =
`(1)/(4) * \text { the number }`

`=(1)/(4) x`

`=(x)/(4)`

One seventh of a number =
`(1)/(7) * \text { the number }`

`=(1)/(7) x`

`=(x)/(7)`

Given that one fourth of a number is 3 more than one seventh of a number

So in other words if we add 3 to one seventh of a number, we will get one fourth of a number.

`(x)/(7)+3=(x)/(4)`

`(x+21)/(7)=(x)/(4)`

4(x+21) = 7x

4x + 84 = 7x

84 = 7x – 4x

3x = 84

x = 28

Hence required number is 28.