This problem is also a good one for QR skills. First notice that we're dealing with Normality, so look at the number of ions generated in the solution. For this particular problem, each solution has 1 OH- made for each molecule, so Normality is as the coefficient states for the purposes of the problem. Now it can be set up as an awesome QR problem. I pretended that we were making 1L of this final solution for simplicity.
So make the volume for the first one X, and the volume of the second 1-x (since you are making a total solution of 1L)
.2Mx + .3(1-x) = .24
Working that out, I get x= 0.6
So the (1-X)= 0.4
So the ratio of the two volumes is 6:4, which is 3:2!
Yay Math!
I scribbled this out quickly on a sticky at work, can someone else confirm?