Jack and Robert appeared in an examination. Robert scored 9 marks less than…
2024
Jack and Robert appeared in an examination. Robert scored 9 marks less than Jack. Jack’s score was 56% of the sum of their scores added together. Calculate their individual scores.
- A.
22 and 33
- B.
41 and 35
- C.
40 and 35
- D.
42 and 33
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Show answer & explanation
Correct answer: D
Answer:
42 and 33
Explanation:
Let Robert’s score be x. Then, Jack’s score = x+9.
Now, x+9 = 56% of [(x+9) + x]
=> x+9 = 14/25 × (2x + 9)
=> 25 × (x+9) = 14 × (2x+9)
=> 25x + 225 = 28x + 126
=> 3x = 99 => x = 33.
Therefore, Robert scored 33 marks and Jack scored 42 marks.