Population/Growth Problem Help

Hey All - new poster here and would gladly appreciate a push in the right direction for my Global Environment class...I'll set up the problem and show you the work I have done so far...

Question:

Imagine a hypothetical population with three assumptions:

1) Males and females are in the same abundance in all age classes beginning in year 0

2) Newborn males produced @ the same rate as newborn females by mothers of all ages

3) Males and females have same per capita survival rate in all of the different age classes

After knowing this I am supposed to find out how many males of each age are present in the population starting @ age 2...

Ok what I have done so far...

I know this is a trick question whos answer is not readily apparent, and I know I shouldnt have to use a calculator to solve it...

I tried setting up a tree w/ a fake population to determine the ratio...

_____(Year 0) (Year 1) (Year 2)

Age 1(1m, 1f)

Age 2(1m, 1f)

Age 3(1m, 1f)

At this point, I follow rule #1 "Males and females are in the same abundance in all age classes beginning in year 0" - I said 1 m, and 1 f are present in each age group @ Year 0

_____(Year 0) (Year 1) (Year 2)

Age 1(1m, 1f) (2m, 2f)

Age 2(1m, 1f) (2m, 2f)

Age 3(1m, 1f) (2m, 2f)

At this point, I know that if the birth rate of males/females is the same then that one f in each age group will produce, lets say, 1 m and 1 f...and in this situation I also say that the survival rate is 100% (so each newborn carries on to next age)

_____(Year 0) (Year 1) (Year 2)

Age 1(1m, 1f) (2m, 2f) (4m, 4f)

Age 2(1m, 1f) (2m, 2f) (4m, 4f)

Age 3(1m, 1f) (2m, 2f) (4m, 4f)

So I expand the process again and find that the same number of males and females exist in each age group @ year 2...but something seems wrong b/c this answer is too obvious...

Can anyone point out flaws in my logic?