In a certain examination, a total of 3768 students secured first division in the years 2006 and 2007. The number of first division in 2007 exceeded those in 2006 by 34. How many students got first division in 2006?
1867
Let number in 2006 = x, then in 2007 = x + 34.
x + (x + 34) = 3768 ⇒ 2x + 34 = 3768 ⇒ 2x = 3734 ⇒ x = 1867.