Divide 4500 into two parts such that 5% of the first part is equal to 10% of the second part.

Let the first part be x. So the second part will be 4500-x

According to the question,

x*5/100 = (4500-x)*10/100

x/20= (4500-x)/10

x/20=9000-2x/20

x=9000-2x, x=3000

so, the first part is 3000, second is 1500