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?

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2 Answers

Correct answer is 1867

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Let number of students got first division in 2006 be x.

So, the number of students got first division in 2007 = 3768 – x.

According to question,

3768 – x = x + 34

⇒ 3768 – 34 = x + x 

⇒ 2x = 1867

⇒ x = 3734/2 = 1867

Thus, 1867 students got first division in 2006.

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