If 20 is added to one-third of a number, the result is the double of the number. What is the number?

one third of an unknown number is [tex] \frac{1}{3} x[/tex]. The word "of" means to multiply. So if we add 20 to that, and it is equal to double the unknown (that is 2x), the equation looks like this: [tex]20+ \frac{1}{3}x=2x [/tex]. Start by multiplying everything by 3 to get rid of the fraction and get 60 + x = 6x. Now subtract an x from both sides and get 60 = 5x and x = 12. So the number is 12

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deepakrai138 deepakrai138 · Answer 2 · 2022-01-07T10:52:22+01:00

If 20 is added to one-third of a number, the result is the double of the number then the number will be 12.

Let the number be x.

So its one-third will be [tex]\dfrac{x}{3}[/tex] .

According to the question, If 20 is added to one-third of a x, the result is the double of x. So in equation form it can be written as,

[tex]20+\dfrac{x}{3} =2x[/tex]

[tex]2x-\dfrac{x}{3} =20[/tex]

[tex]\dfrac{6x-x}{3} =20\\[/tex]

[tex]5x=60[/tex]

[tex]x=12[/tex]

Hence the number is 12.

For more details on equation solving follow the link:

https://brainly.com/question/11897796