Just came across this today, even though the event was a few weeks ago, of a great satellite shot showing two typhoons in the Western Pacific near the Philippines. This is a composite satellite image -- one taken of Typhoon Parma at 10:35 a.m. on Oct. 7; the one of Typhoon Melor taken a few hours later but it shows the correct geography of where both storms were at that time.
It's fairly rare to have to storms so close together, although I've seen it a few times with our fall and winter type storms here. You'd think they'd merge to form some sort of super storm, but actually, many times, the storms end up battling against each other for energy and can mess up the weather flow to keep them going. Other times, according to NASA you can get something called the Fujiwara Effect, where both storms will begin rotating around a center point.
That's apparently a bit what happened in this case shown above, as the approach of Melor actually pulled Parma back out to sea a bit.
You can find more about these storms and a higher resolution photo at NASA's Earth Observatory page.