Respuesta :
i set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.
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 = [tex]\frac{1}{4} \times \text { the number }[/tex]
[tex]=\frac{1}{4} x[/tex]
[tex]=\frac{x}{4}[/tex]
One seventh of a number = [tex]\frac{1}{7} \times \text { the number }[/tex]
[tex]=\frac{1}{7} x[/tex]
[tex]=\frac{x}{7}[/tex]
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.
[tex]\frac{x}{7}+3=\frac{x}{4}[/tex]
[tex]\frac{x+21}{7}=\frac{x}{4}[/tex]
4(x+21) = 7x
4x + 84 = 7x
84 = 7x – 4x
3x = 84
x = 28
Hence required number is 28.
