If Melina is three times as old as Alma, and she is 60, Alma is 60/3 = <<60/3=20>>20 years old.
The sum of their ages is 60+20 = <<60+20=80>>80 years.
Since the sum of Alma and Melina's age is twice the total number of points Alma scored in a test, Alma's score in the test was 80/2 = <<80/2=40>>40 points.
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