Question

in a class test the sum of gagan marks in math and eng is 45. if he had 1 more mark in maths and 1 less in english the product of marks would have bee 500. Find the original marks obtained by gagan in maths and english separately.

Answer 1

let the marks in maths be x and English be y
x+y=45....1
x=45-y
(x+1)(y-1)=500
(45-y-1)(y-1)=500

y^2-43y+456=0
by solving this quadratic equation
we get two values of y
y1=24
y2=19
substitute both this values in 1
X1+24=45
X1=45-24
=21
X2+19=45
X2=45-19
=26
maths=21,26
English=24,19
there are two possibilities

please do it brainleist