Question

In a class test, the sum of Gagan's marks in Mathematics and English is 45. If he had 1 more mark in Mathematics and 1 less in English, the product of marks would have been 500. Find the original marks obtained by Gagan in Mathematics and English separately.

Answer 1

Let Gagan's marks in Mathematics be x. Then,

Marks in English = 45- x

According to question,

$(x+1)(45-x-1)=500$

$(x+1)(44-x)=500$

$x^2-43x+456=0$

$(x-19)(x-24)=0$

$x=19$ or $x=24$

When $x=19$,

Marks in Mathematics = 19

Marks in English = 26

When $x=24$,

Marks in Mathematics = 24

Marks in English = 21