Jatin gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is ?
Explanation
Given that,
Let the question solved by jatin= X
and number of question solved wronglly by jatin= Y
According ti the question,
we get,
⇒ X+Y=30 -----(1)
⇒ 3X+2Y=40 ----(2)
Now, multiply the equations (1) and (2)
we get,
⇒ 2X+2Y=60 ----(3)
After adding the equation (2) and (3) we get,
⇒ 3X-2Y+2X+2Y=40+60
⇒ 5X=100
⇒ X=20
∴ Jatin attempted 20 question correctly.
Hence, Option A is correct.
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