Question

In a class test, the sum of Kamal’s marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.

Answer 1

Let the marks of Kamal in mathematics and English be x and y, respectively. According to the question:

x + y = 40........(i)

Also,

(x + 3)(y - 4) = 360

⇒ (x + 3)(40 - x - 4) = 360  [From (i)]

If x = 21,

y = 40 - 21 = 119

Thus, Kamal scored 21 and 19 marks in mathematics and English, respectively.

If x = 12,

y = 40 - 12 = 28

Thus, Kamal scored 12 and 28 marks in mathematics and English, respectively.