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

1 Answer
Feb 26, 2016

Answer:

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")