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33 votes
33 votes
When nineteen is reduced by two-thirds of a number, the result is 17.

User Performanceuser
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2 Answers

23 votes
23 votes

Answer:

The unknown number is 3.

Explanation:

To get 17 from 19, we have to subtract 2.

2/3 of an unknown number gives us 2, and we can set up an equation to solve for the unknown number.

2/3x=2.

Divide both sides by 2/3 to isolate x. We get x= 2/2/3.

To simplify this fraction we can use "keep, change, flip."

2/ (2/3) goes to 2/1 x 3/2. 2/1 is kept, division is changed to multiplication, 2/3 is flipped to 3/2.

We can now multiply 2 by 3/2 to get 3 as the final answer and as our unknown variable.

User Moot
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3.1k points
21 votes
21 votes
17-(2/3)x=13
-(2/3)x=-4
(2/3)x=4
2x=12
x=6
User Giampaolo
by
3.1k points
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