.
There is short, quick and elegant way to solve it.
You write the system of two equations EXACTLY as you read the text
Corrine - Bill = 13204 (1)
Corrine + Bill = 119548 (2)
Then you add the equations
2*Corrine = 13204 + 119548 = 132752
and divide by 2
Corrine = 132752/2 = 66376.
Now from equation (2) you get
Bill = 119548 - 66376 = 53172.
ANSWER. Corrine 66376; Bill 53172.
Solved.
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If you want to see million other similar solved problems, look into the lesson
- Word problems that lead to a simple system of two equations in two unknowns
in this site.