Answer :

We are given two equations for two numbers, where the sum is
[tex]$$
x+y=327,
$$[/tex]
and the difference is
[tex]$$
x-y=1.
$$[/tex]

Step 1. Add the two equations to eliminate [tex]$y$[/tex]:

[tex]$$
(x+y) + (x-y) = 327 + 1.
$$[/tex]

Simplify the left side:

[tex]$$
2x = 328.
$$[/tex]

Step 2. Solve for [tex]$x$[/tex]:

[tex]$$
x = \frac{328}{2} = 164.
$$[/tex]

Step 3. Substitute [tex]$x=164$[/tex] into the first equation to find [tex]$y$[/tex]:

[tex]$$
164 + y = 327.
$$[/tex]

Solve for [tex]$y$[/tex]:

[tex]$$
y = 327 - 164 = 163.
$$[/tex]

Thus, the two numbers are [tex]$164$[/tex] and [tex]$163$[/tex].

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Rewritten by : Barada