Question

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

Answer 1

Answer:

Marks in Mathematics = 12 ,   Marks in English = 18

                                      OR

Marks in Mathematics = 13 ,    Marks in English = 17

Step-by-step explanation:

Let Sonali's marks in Mathematics be x.

Her marks in English = (30-x)

According to question,

(x+2) (30-x-3) = 210

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

$27x - x^{2} + 54 - 2x = 210$

$-x^{2} + 25x + 54 - 210 = 0$

$-x^{2} + 25x - 156 = 0$

$x^{2} - 25x + 156 = 0$

$x^{2} - 13x - 12 x +156 = 0$

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

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

x = 12 , x = 13

Marks in Mathematics = 12 ,   Marks in English = 18

                                     OR

Marks in Mathematics = 13 ,    Marks in English = 17