Let the number of students who got first division in year 2006 be x.
Since, the number of first division in year 2007 exceeded those in the year 2006 by 34, therefore the number of students who got first division in year 2007 will be (x + 34)
It is given that total number of students who got first division in years 2006 and 2007 is 3768.
According to the question,
x + (x + 34) = 3768
⇒ 2x + 34 = 3768
⇒ 2x = 3768 – 34
⇒ 2x = 3734
⇒ [dividing both sides by 2]
⇒ x = 1867
Hence, 1867 students got first division in year 2006.
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