Since Dorothy scored 90 marks, and Ivanna scored 3/5 times as many marks, Ivanna scored 3/5*90 = <<90*3/5=54>>54 marks.
Together, Dorothy and Ivanna scored a total of 54+90 = <<54+90=144>>144 marks.
If Tayuta scored twice as many marks as Ivanna, she scored 2*54 = <<2*54=108>>108 marks.
The total marks the three scored altogether is 108+144 = <<108+144=252>>252 marks.
The average marks for the three are 252/3 = <<252/3=84>>84 marks.
#### 84