Question

How do you define a variable and write an expression for each phrase: a number increased by the difference between six and a number?

Answer 1

Depending upon the interpretation, I'm going to suggest
`color(white)("XXX")n+abs(n-6)`
(see below for other possibilities)

Explanation:

Given the phrase:
`color(white)("XXX")`"a `color(red)("number")` increased by the difference between six and a `color(blue)("number")`"
It is unclear if the intent is that both references are to the same "number". So maybe one should be a variable `n` and the other a different variable `m`.

`color(white)("XXX")`"`color(green)("...the difference between six and a number")`"
might mean "six minus the number"
or it might mean "the absolute difference between six and the number"

With those interpretations in mind, the following are all possible intended expressions:

`n+(6-n)` (which would just be `6`);

`n+(6-m)` (two different "numbers");

`n+abs(6-n)` (this is the one I used in the "Answer")

`n+(abs(6-m)` (absolute difference but two different "numbers")