Not enough information to comment. I suspect you have to investigate the various data acquistion settings on each instrument.
The area counts are purely a function of the units each instrument's integration system has been set to. For example, a peak could contain  100 mAU*sec or 100000 uV*sec if the data system was set to 1 mAU = 1 mV.
We need to know how equivalent the systems are, from the injection volumes, through the detector sensitivity and noise, to integrator data settings. 
The simplest solution is to take the acceptable area of the Waters, divide it by the area of the same peak on the Younglin. Then use that factor to multiply all the Younglin peak area results...... However, if your Younglin system doesn't have the sensitivity, you will get incorrect answers, but it is a quick solution....
Bruce Hamilton