Question

Ekaterina divides a number 4 times by 100. She gets 100. She divides the same number 4 times by 50. What does she get?

Answer 1

Let us assume number be x.

On dividing first time by 100, we get x/100.

On dividing second time by 100, we get x/ 100/100 = x/10000.

On the same way,

On dividing third time by 100, we get = x/1000000.

And on dividing fourth time by 100, we get = x/100000000.

And we get final result on dividing 4th by 100 = 100.

Putting x/100000000 equals 100, we get

`(x)/(100000000)  = 100`

Multiplying both sides by 100, we get

`(x)/(100000000) *100000000 = 100 * 100000000`

x= 10000000000.

So, 10000000000 is the actually number.

Now, dividing 10000000000 first time by 50, we get

= 200000000

Dividing second time by 50, we get

= 4000000.

Dividing third time by 50, we get

= 80000.

And finally dividing fourth time by 50, we get

= 1600.