In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin.
Generated by claude-sonnet-4-6 · 2026-06-15 10:32 · grounding rag
Model Answer
Let Veer's marks = V and Kevin's marks = K.
Equation 1: Veer scored 6 more than twice Kevin's marks:
$$V = 2K + 6$$
Equation 2: If one of them scored 4 more, total = 40, so their current total = 36:
$$V + K = 36$$
Solving: Substitute V = 2K + 6 into equation 2:
$$2K + 6 + K = 36$$
$$3K = 30 \implies K = 10$$
$$V = 2(10) + 6 = 26$$
∴ Veer scored 26 marks and Kevin scored 10 marks.
Verification: 26 + 10 + 4 = 40 ✓
Explanation
- The phrase "if one of them scored 4 more, total = 40" means the current total is 36 (subtract 4). This is the key step students often miss.
- Set up both equations clearly before solving — examiners award 1 mark for correct equations, 1 mark for solving, 1 mark for the final answer.
- Always verify your answer; it shows completeness and can recover partial marks.