in a class test the sum of shefali's marks is mathematics and English is 30 had she got 2 marks more in mathematics in english the product of their marks would have been 210 .find her marks in two subject
Answers
Answer:marks in Maths=12 and marks in English=18 or marks in Maths=13 and marks in English=17
Step-by-step explanation:
Given, marks in Maths+marks in English=30
Let the marks got in maths be x
Then marks got in English will be 30-x
Now, if she had got 2 more marks in Maths then her marks will be (x+2)
And if she had got 3 marks less in English then his Mark's will be (30-x-3)=27-
Now their product is 210
Therefore, (x+2)(27-x)=210
= 27x-x²+54-2x=210
25x-x²+54=210 (×(-1))
x²-25x-54=(-210)
x²-25x+156=0
ax²+bx+c=0
a=1, b=(-25), c=156
Sum=b=(-25)
Product=(a×c)=156
x²-13x-12x+156=0
x(x-13)-12(x-13)=156
(x-13)(x-12)=0
Therefore,x=12 or x=13
Therefore,marks in Maths=12 and marks in English=18 or marks in Maths=13 and marks in English=17
Hope it helps, All the best :)
Answer:
It is the correct answer.
Step-by-step explanation:
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