Answer:
p - q = 5
Explanation:
You have p+q = 12 and p²-q² = 60. You want the value of p-q.
Difference of squares
The difference of squares is factored as ...
p² -q² = (p +q)(p -q)
Substituting given values, this becomes ...
60 = 12(p -q)
Dividing by 12 gives the difference of interest:
5 = p -q