Question

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark
for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marksbeen deducted for each incorrect answer, then Yash would have scored 50 marks. Howmany questions were there in the test?

Answer 1

here is ur equation

Answer 2

Answer:

$\huge{\pink{\boxed{\green{\sf{TOTAL\:NO.\:OF\:QUESTION=20}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

☆ Let the no. of correct question be x

☆ no. of incorrect question be y

☆ According to given question:

$\to 3x - y = 40 - - - - - (1) \\ \\ \to 4x - 2y = 50 \\ \to 2(2x - y) = 50 \\ \to 2x - y = 25 - - - - - (2)$

☆ Subtracting (1) from (2):

$\to 2x - y - (3x - y)= 25 - 40 \\ \to 2x - y - 3x + y = - 15 \\ \to - y = - 15 \: \\ \to y = 15$

☆ Putting value of x in (1)

$\to 2x - y = 25 \\ \to 2 \times 15 - y = 25 \\ \to - y = 25 - 30 \\ \to - y = - 5 \\ { \pink{ \boxed{ \green{\therefore y = 5}}}} \\ \\ { \pink{ \boxed{ \green{\therefore total \: no. \: of \: question= x + y = 15 + 5 = 20}}}}$

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