Calculate intersection point of CIs of two linear regressions

[Coen vd Kraats]

In the below figure I have plotted two linear regressions lines and their 95% CI using the lfitci command. I would like to calculate the age at which the "lower limit" of the green line's CI intersects with the "upper limit" of the red line's CI. Is there an easy way to do this in Stata?