Question

in a class test summa of Shefali marks in mathematics and English 30 had she got 2marks more in mathematics and 3marks less in English English the product of their marks would have been 210 find marks in 2 subject​

Answer 1

Answer

Given,

• Sum of marks in maths and english = 30
• Product of marks if she gets 2 marks more in maths and 3 marks less in english = 210

To find,

Marks she got in maths and english

Solution,

Let she got 'x' marks in maths and 'y' marks in english.

Now,

According to the condition 1st,

⇛ x + y = 30

⇛ x = 30 - y ------------(1)

According to the condition 2nd,

• marks in maths = (x+2)
• marks in english = (y-3)

Product = 210

So,

⇛ (x + 2)(y - 3) = 210

⇛ xy - 3x + 2y - 6 = 210

⇛ xy - 3x + 2y - 216 = 0 -----------(2)

Putting value of 'x' from (1) to (2)

⇛ (30-y)(y) - 3(30-y) +2y - 216 = 0

⇛ 30y - y² - 90 + 3y + 2y - 216 = 0

⇛ -y² + 35y - 306 = 0

⇛ y² - 35y + 306 = 0

Here we got a quadratic equation . Let us solve it by splitting the middle term method.

⇛ y² - 18y - 17y + 306 = 0

⇛ y(y-18) -17(y-18) = 0

⇛ (y - 17)(y - 18) = 0

• y = 17
• y = 18

Hence she got 17 or 18 marks in English.

If she got 17 marks in English then by (1) we get marks in maths = 13

If she got 18 marks in English then by (1) we get marks in maths = 12

Answer 2

Step-by-step explanation:

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