Question

In aclass test , the sum of marks obtained by a student in maths and science is 28. Had he got 3 marks more in maths and 4 marks less in science, the product of marks would have been 180. Find his marks in two subjects

Answer 1

Let the marks be x and 28-x.
Given :
x (28-x)=180
$- x ^{2} + 28x = 180$
$x {}^{2} - 28x + 180 = 0$
$x {}^{2} - 18x - 10x + 180 = 0$
$x(x - 18) - 10(x - 18) = 0$
$(x - 18)(x - 10) = 0$
Therefore
$x = 18 \: or \: 10$