Momentum of colliding billard balls

[ElevatorNinja]

Homework Statement

A white billiard ball with mass mw = 1.43 kg is moving directly to the right with a speed of v = 3.29 m/s and collides elastically with a black billiard ball with the same mass mb = 1.43 kg that is initially at rest. The two collide elastically and the white ball ends up moving at an angle above the horizontal of θw = 21° and the black ball ends up moving at an angle below the horizontal of θb = 69°.
http://smartphysics.com/images/content/mechanics/ch12/billiardballsnew2.png

I need to find the final speeds of the balls.

Homework Equations

Conservation of momentum

The Attempt at a Solution

What I tried already was having initial momentum equal to final momentum. And then splitting it into x and y components and solving for the unknown velocities and got 1.4 for the black one and 3.66 for the white one. I'm not sure where I went wrong. Please help.

Here is some of my work:
Since masses cancel out, I have
for X: 3.92 + 0 = Vwcos21 + Vbcos69
for y: 0 = Vwsin21 - Vbsin69
Then solved for Vb, which I got 1.4, but it's wrong.

 

[vela]

Your method is fine. You just swapped two digits in the initial velocity.