Agrocer had some eggs. when he packed them into groups of 4 there were three eggs leftover when he packed them into groups of five there were two left over when he packed them into groups of nine there were no eggs leftover. find the least number of eggs to grocery had.

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?