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5. In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got
2 marks more in Mathematics and 3 marks less in English, the product of their marks
would have been 210. Find her marks in the two subjects.
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Answer:
If her marks in Math is 12, then in English she got 18.
If maths mark is 13, then she got 17 in English.
Step-by-step explanation:
Let the marks in Math be x and in English (30−x).
New marks in Math =2+x
New marks in English =27−x
(2+x)(27−x)=210
54−2x+27x−x^2 =210
x^ 2 −25x+156=0
x^2 −12x−13x+156=0
x(x−12)−13(x−12)=0
(x−12)(x−13)=0
x=12,13
If her marks in Math is 12, then in English she got 18.
If maths mark is 13, then she got 17 in English.
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Answer:
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