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Two- thirds of a number added to itself is 20. what is the number?

2 Answers

5 votes
First, to write your equation you can refer to this number as a variable x.

So,
X + 2/3X = 20

Next you want to combine like terms, and you will get 5/3X

So now we will have:
5/3X = 20

To get X by itself you must divide by 5/3, which is the same as multiplying the number by 3/5.

20 X 3/5 = 12
The answer is that the number is 12

User Eddy Freddy
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5 votes

Equation

Let the number = x

(2/3)x + x = 20 Change the x to thirds.

(2/3)x + 3/3x = 20 3/3 = 1 Now combine the like terms.

(2 + 3)/3 = 20 2/3 + 3/3 = 5/3

(5/3) x = 20 Multiply both sides by 3/5

(5/3)*(3/5)x = 20*3/5 Complete the multiplication on the right

x = 4 * 3 Combine

x = 12 Answer

User Jake Quin
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5.2k points