In a class chest ,the sum of moulika's marks in mathemics and english is 30 . if she got 2 marks more in mathematics and 3 marks less in english , the product of her marks would have been 210 find her marks in the two subjects
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Answer:
Maths = 12 & English = 18 (OR) Maths = 13 and English = 17.
Step-by-step explanation:
M + E = 30
(M+2)(E-3) = 210
//E = 30-M
(M+2)(30 -M - 3) = 210
(M+2)(27-M) = 210
27M + 54 - M² - 2M = 210
M² - 25M + 156 = 0
M² - 12M - 13M + 156 = 0
M(M-12) - 13(M-12) = 0
(M - 12)(M - 13) = 0
M = 12 or 13.
If M = 12, E = 18
if M = 13, E = 17.
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