Question

1. A student gets 3 marks for the correct answer and
loses 2 marks for the wrong answer. He wrote
17 question correctly and got 37 marks. How many
questions did he write wrongly?
$its \: algebra$
​

Answer 1

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Answer:

The answer is 17

Step-by-step explanation:

Let the number of correct sums be x and the number of incorrect ones be y.

Then,according to the question

x+y=24 ....(1)

(he attempted 24 questions in total)

3x−2y=37 ..(2)

(he gets 3 marks for correct sum and loses 2 marks for wrong sum)

Multiplying (1) by 2 and adding it to (2).

2x+2y+3x−2y=48+37

5x=85

x=17

From (1),

17+y=24

y=7

He did 17 correct sums

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