Question

A student scored a total 32marks in class test in mathematics and science Had he scored 2marks less in science and 4 marks more in mathematics the product of his mark would have 253 . Find his marks in two subject

Answer 1

Answer:

Step-by-step explanation: Solution :- Let marks in Mathematics be x. And, marks in Science be 32 - X. According to the Question, (32 - x - 2)(x + 4) = 253 %3D = (30 - x)(x + 4) = 253 %3D → 26x - x2 + 120 = 253 → x² - 26x + 133 = 0 x? - 19x - 7x + 133 = 0 x(x - 19) - 7(x - 19) = 0 (x - 19) (x - 7) = 0 - x = 19, 7 If x = 19, then, Marks in Mathematics = x = 19 Marks in Science = 32 - x = 13 If x = 7, then, Marks in Mathematics = x =7 Marks in Science = 32 - x = 25