Sam I am:
The answer is yes.
Suppose in 1810, 100 of each were born; in 1811, 110 of each were born; in 1812, 120 of each; in 1813, 130 of each; and in 1814, 140 of each, and continuing to rise by ten per year.
It is now 1834, the 100 boys marry 100 of the girls, leaving 40 over.
It is now 1835, and there are 190 girls available- 40 left over and 150 born in 1815. The 110 “1811” boys marry 110 girls from the combined classes, leaving 80 over.
It is now 1836, and there are 120 boys, and 240 girls.
In 1837, there are 130 boys and 290 girls.
In 2010, if everyone is still alive, there will be tens of thousands of extra girls, but most of them will have already died unmarried.
That is the math.