Question 1030641
If we call the youngest cousin's age x, then the others are x+2, x+4, x+6, and x+8.  Now add them all to make 50.
x + x+2 + x+4 + x+6 + x+8 = 50
5x + 20 = 50
5x = 30
x = 6
The cousins are
6,8,10,12, and 14.