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 :
[tex]x + \frac{x}{4}=30\\\\then[/tex]
[tex]\frac{4x+x}{4} = 30\\\\then[/tex]
[tex]\frac{5x}{4} = 30\\\\then[/tex]
5x = 4× 30
then
5x = 120
then
x = 120/5
then
x = 24
