Question

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

Answer 1

x = 24

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 + (x)/(4)=30\\\\then`

`(4x+x)/(4) = 30\\\\then`

`(5x)/(4) = 30\\\\then`

5x = 4× 30

then

5x = 120

then

x = 120/5

then

x = 24