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x = liters of original 10% citric acid.
 
3(20%) + x(10%) = liters citric acid
 
3 + x = total liters
 
(3(20%) + x(10%)) / (3 + x) = 13 / (102 + 13)
 
13(3 + x) = 115(3(20%) + x(10%))
 
39 + 13x = 115(3/5 + x/10)
 
39 + 13x = 23(3) + 11.5x
 
1.5x = 30
 
x = 300/15
 
x = 20 liters