Expressing a statement into algebraic symbols

[NotaMathPerson]

Each two numbers whose difference is 25

x = larger number
x-25 = smaller number

Are my answers correct?

Thanks!

 

[MarkFL]

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

\(\displaystyle x-y=25\)

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

\(\displaystyle y=x-25\)

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:

\(\displaystyle x-(x-25)=25\checkmark\)