Jon P. answered 01/27/15
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Let H be the high price and let L be the low price.
So H + L = 83.50
And H - L = 21.88
Add the two equations together:
2H = 83.50 + 21.88 = 105.38
H = 52.69
Substitute that value for H into either equation and solve for L:
H + L = 83.50
52.69 + L = 83.50
L = 30.81
So the high price was $52.69 and the low price was $30.81