Question

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

Answer 1

Answer:

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 = $\frac{1}{4} \times \text { the number }$

$=\frac{1}{4} x$

$=\frac{x}{4}$

One seventh of a number = $\frac{1}{7} \times \text { the number }$

$=\frac{1}{7} x$

$=\frac{x}{7}$

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.

$\frac{x}{7}+3=\frac{x}{4}$

$\frac{x+21}{7}=\frac{x}{4}$

4(x+21) = 7x  

4x + 84 = 7x

84 = 7x – 4x  

3x = 84  

x = 28

Hence required number is 28.

Answer 2

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