Question

A number increased by 100% and decreased by 20% is x. what is the number ? answer:

Answer 1

To find the number, we can use algebraic equations. The number increased by 100% and then decreased by 20%. The number can be represented as x divided by 1.6.

Step-by-step explanation:

To find the number, we can use algebraic equations. Let's assume the number is represented by n.

1. The number increased by 100%: n + 100% of n = n + 1n = 2n
2. The number decreased by 20%: 2n - 20% of 2n = 2n - 0.2(2n) = 2n - 0.4n = 1.6n
3. Since the resulting value is x, we can equate it to 1.6n: x = 1.6n
4. To find the value of n, we can solve the equation by dividing both sides by 1.6: n = x / 1.6

So, the number is x / 1.6.

Answer 2

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240