Question

What number increased by ¼ of itself is equal to 30?

Answer 1

Answer:

x = 24

Step-by-step explanation:

let x be the number we want to determine its value

The statement  x increased by ¼ of itself is equal to 30

is equivalent to :

$x + \frac{x}{4}=30\\\\then$

$\frac{4x+x}{4} = 30\\\\then$

$\frac{5x}{4} = 30\\\\then$

5x = 4× 30

then

5x = 120

then

x = 120/5

then

x = 24