MathsCBSE Class 10 · Standard · Board exam 2026, set 30/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Standard 2026: question 26(a)

Set in the CBSE Class 10 board exam of 2026, paper 30/4/1, section C, question 26(a), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q26(a) · 3 marks · Short answerCompetency-basedPair of Linear Equations in Two Variables

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.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/4/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Let the two scores be variables and translate each sentence into an equation.

Hint 2

Use $V = 2 K + 6$ and $V + K + 4 = 40$ , then substitute.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Let Veer's marks be $V$ and Kevin's marks be $K$ . Veer scored 6 more than twice Kevin's marks: $V = 2 K + 6$ ...(i)
1 mark
If one of them had scored 4 more, the total would be 40: $V + K + 4 = 40$ , i.e. $V + K = 36$ ...(ii)
1 mark
Substituting (i) in (ii): $2 K + 6 + K = 36 \Rightarrow 3 K = 30 \Rightarrow K = 10$ . Then $V = 2 (10) + 6 = 26$ . So Veer obtained 26 marks and Kevin obtained 10 marks.
1 mark

Answer: Veer = 26 marks, Kevin = 10 marks

Where the marks are

Forms $V = 2 K + 6$ (1 mark)
Forms $V + K + 4 = 40$ (1 mark)
Solves to get $V = 26$ and $K = 10$ (½ + ½ marks)

Revise the chapter

Chapter: Pair of Linear Equations in Two Variables (notes, formulas, where marks are lost and every past question)
Topic: Word Problems on Linear Equations

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/4/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2026: question 26(a)

Hints

Step-by-step solution

Revise the chapter

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