Math, asked by itzDeadGuru03, 8 months ago

In a class test, the sum of She fali'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.​

Answers

Answered by brainlyhelper00
1

Answer:

QUETION:-

In a class test, the sum of She fali's marks in Mathematics and Englishis 30. Had she got 2 marks more in Mathematics and 3 marks less inEnglish, the product of their marks would have been 210. Find hermarks in the two subjects.

TO FIND:-

The marks obtained in two subjects.

GIVEN:-

The product of thier marks would have been

210

SO;

Let the marks in math be "x"

Then the marks in English will be 30-x

ATQ:-

(x + 2)(30 - x - 3) = 210 \\ (x + 2)(27 - x) = 21 \\  -  {x}^{2}  + 25x + 54 = 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 \: and \: 13

If the marks in mathematics are 12, then marksin english will be 30-12 = 18.

OR

If the marks in mathematics are 13,then marks in english will be 30-12 = 17.

Thanks :)

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