In a class test, the sum of the marks obtained by p in mathematics and science is 28.Had he got 3more marks in maths and 4 marks less in science, the product of marks obtained in the two subjects would have been 180. Find the marks obtained in the two subjects separately. (ans.16 and 19)
Answers
Answer:
16in maths and 19 in science
Answer:
Case 1:
If marks in math x = 9 ,
marks in science 28-x= 28-9=19
Case 2:
If marks in math x = 12,
marks in science 28-x = 28-12=16
Step-by-step explanation:
Let marks in math = x
marks in science = 28 - x
/* Since , sum of marks in two subjects = 28 */
/* Had he got 3more marks in maths and 4 marks less in science, the product of marks obtained in the two subjects would have been 180*/
(x+3)(28-x-4)=180
=> (x+3)(24-x)=180
=> 24x-x²+72-3x=180
=> -x²+21x+72=180
=> x²+21x-72+180=0
=> x²-21x+108=0
=> x²-9x-12x+108=0
=> x(x-9)-12(x-9)=0
=> (x-9)(x-12)=0
=> x-9 =0 Or x-12=0
=> x = 9 Or x = 12
Therefore,
Case 1:
If marks in math x = 9 ,
marks in science 28-x= 28-9=19
Case 2:
If marks in math x = 12,
marks in science 28-x = 28-12=16
•••♪