Question 673649
Let x=the number
x+5=the number increased by 5

The reciprocal of the number is 1/x
Soooo
x+5=24*(1/x)  multiply each side by x
x^2+5x=24
x^2+5x-24=0  quadratic in standard form and it can be factored
(x+8)(x-3)=0
x=-8
and
x=3

So we have two answers
CK
-8+5=24/-8
-3=-3--------------ok
3+5=24/3
8=8---------------ok

Hope this helps---ptaylor