Question

A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum.He does 24 Sums and obtains 37 marks.The number of correct sums were

Answer 1

AnSwer:

Let the total number of correct sums be x.

So, the total number of incorrect sums will be 24 - x.

GiVen:

• He gets 3 marks for each correct answer.

• He loses 2 marks for each incorrect answer.

• Total marks scored by him are 37.

★ According to the question,

$\longmapsto \sf \: \: 3x - (24 - x) \times 2 = 37 \\ \\ \longmapsto \sf \: \: 3x - 48 + 2x = 37 \\ \\ \longmapsto \sf \: \:5x - 48 = 37 \\ \\ \longmapsto \sf \: \: 5x = 37 + 48 \\ \\ \longmapsto \sf \: \: 5x = 85 \\ \\ \longmapsto \sf \: \: x = \dfrac{85}{5} \\ \\ \longmapsto \sf \: \:{ \underline{ \boxed{ \purple{ \sf{x = 17}}}}} \: \bigstar$

Therefore, number of correct sums are 17.

Answer 2

Answer:

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