Expressing a statement into algebraic symbols

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The discussion centers on expressing the relationship between two numbers with a difference of 25 using algebraic symbols. The larger number is denoted as x, while the smaller number is represented as x - 25. The equation x - y = 25 is established, leading to the conclusion that y = x - 25. Verification of the solution is confirmed by calculating the difference, which consistently equals 25.

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Each two numbers whose difference is 25

x = larger number
x-25 = smaller number

Are my answers correct?

Thanks!
 
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Let's let $x$ be the larger number and $y$ be the smaller. If their difference is 25, then we may state:

$$x-y=25$$

And so, upon solving for $y$, we find:

$$y=x-25$$

Yes, you are correct...you could also have checked you results by computing the difference between your two numbers to make certain their difference is 25:

$$x-(x-25)=25\checkmark$$
 

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