Question

The difference between number 20 and its opposite is what percentage of 200? (if you do not remember: opposite of 15 is −15; opposite of −7 is 7.)

Answer 1

20-(-20)=40
40/200=.20
20% of 200

Answer 2

Given number is 20

Opposite of the number 20 = -20

Difference of the number 20 and its opposite = 20 -(-20) = 20 + 20 = 40

Let x% of 200 is equal to the difference between number 20 and its opposite

x% of 200 = 40

$\frac{x}{100}= \frac{40}{200}$

Cross multiply, we get

200x = 40(100)

200x = 4000

Divide both side by 200, to find the value of x

$\frac{200x}{200}= \frac{4000}{200}$

x = 20

So the number is 20