Q. 54.3( 27 Votes )

# In a class test, the sum of Moulika’s marks in Mathematics and English is 30. If she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks have been 210. Find her marks in the two subjects.

Maths = 12, English = 18 (or)

Maths = 13, English = 17

Let marks in Mathematics be x , marks in English be 30 - x

When marks in Mathematics is increased by 2 it becomes x + 2

When marks in English is decreased by 3 it becomes 27 - x

According to the problem the product of the two marks is 210

(x + 2)(27 - x) = 210

- x2 + 25x + 54 = 210

x2 - 25x + 156 = 0

Performing factorization we get:

x2 - 13x - 12x + 156 = 0

x(x - 13) - 12(x - 13) = 0

(x - 12)(x - 13) = 0

x = 12,13

There will be two answers

Mathematics = 12 ,English = (30 - 12) = 18

Mathematics = 13, English = (30 - 13) = 17

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