Question

My Mathematics marks are equal to my Science and Social Science marks , My Hindi and English marks differ by 1, the sum of my marks amounts to 190. If The sum of my Mathematics and Science Marks is subtracted by twice my Hindi Marks the difference is 4. Find all my marks.

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Answer 1

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)=21054−2x+27x−x2=210x2−25x+156=0x2−12x−13x+156=0x(x−12)−13(x−12)=0(x−12)(x−13)=0x=12,13

If her marks in Math is 12, then in English she got 18.

If math mark is 13, then she got 17 in English.

Answer 2

Answer:

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 math mark is 13, then she got 17 in English.