Question

A third of Arun's marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got in english?

Answer 1

Let the the marks obtained in maths   = x,
And let the marks obtained in English = y,

Now form the equation for the first sentence,
   x ÷ 3 = y ÷ 2 + 80

Now the equation for the second sentence is
   x + y = 240 

We can rewrite the first equation as 
  (2x - 3 y )÷ 6 = 80, i.e..
  2x -3y= 480
 And the second equation as ,
 3x + 3y = 720
Now we can add the two equations, that results in
  2x - 3 y + 3x + 3y = 480 + 720
 i.e.. 5x = 1200
Thus x = 1200 ÷ 5
          x = 240 
  Marks in mathematics = 240 
Now , substituting in x + y = 240

        240 + y = 240
        y = 0
 So marks obtained in English = 0

(PS- He failed in English )