Advertisements
Advertisements
Question
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?
Advertisements
Solution
Let the number of students who got first division in the year 2006 be x.
Since, the number of first division in year 2007 exceeded those in year 2006 by 34, therefore the number of students who got the first division in year 2007 will be (x + 34).
It is given that the 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 ...[Transposing 34 to RHS]
⇒ 2x = 3734
⇒ `(2x)/x = 3734/2` ...[Dividing both sides by 2]
⇒ x = 1867
Hence, 1867 students got first division in year 2006.
APPEARS IN
RELATED QUESTIONS
The sum of three times a number and 11 is 32. Find the number.
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.
- If the breadth of rectangle is x cm, the length of the rectangle is ______.
- Perimeter in terms of x is ______.
- The equation formed is ______.
- The solution of the equation is ______.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:
The equation formed is ______.
If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ______.
The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.
Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.
150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.
Follow the directions and correct the given incorrect equation, written in Roman numerals:
Move one matchstick to make the equation valid. Find two different solutions.
