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

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

Answer 2

The difference between number 20 and its opposite (which is negative 20) is 20 percentage (20%) of 200.

What is percentage of a number?

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

There are two number one is 20 and other is opposite of it which is -20. The difference of these two number is,

$d=20-(-20)\\d=20+20\\d=40$

Now, we have to find the percentage of 200 which is equal to 40. Suppose, x percent of 200 is 40. Thus,

$200\times\dfrac{x}{100}=40\\x=\dfrac{40\times100}{200}\\x=20\%$

Thus, the difference between number 20 and its opposite (which is negative 20) is 20 percentage (20%) of 200.

Learn more about the percentage here;

https://brainly.com/question/2085058

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