**Q. 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.**

**Ans: **Let’s consider the marks in mathematics be X.

Hence, her marks in English = 30 – X (by given condition) …. (i)

Next, according to 2nd condition: marks in maths = X + 2, marks in English = (30 – X – 3)

by given condition*: product of their marks would have been 210*

Therefore, X = 13 and X = 12

by equation (i), when X = 13, (30 – X) = 17 and when X = 12, (30 – X) = 18

Therefore, when Shefali got 13 marks in Mathematics, she scored 17 marks in English and when Shefali got 12 marks in Mathematics, she scored 18 marks in English.

**Therefore, her marks in Mathematics and English are 13 and 17 respectively or 12 and 18 respectively. The question will have 2 answers.**

**Check:**

*Case 1: marks in Maths and English: 13 and 17: *

*New marks: Maths = 13 + 2 = 15, English = 17 – 3 = 14. Since 15 x 14 = 210, hence our answer is correct.*

*Case 2: marks in Maths and English: 12 and 18: *

*New marks: Maths = 12 + 2 = 14, English = 18 – 3 = 15. Since 14 x 15 = 210, hence our answer is correct.*

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