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Mathematics · 2026 · 3 marks
CBSE 2026 · Region 4 · Set 1 · Q26
(a) 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…
(a)
In a class test, Veer scored $\displaystyle 6$ more than twice as many marks as Kevin scored. If one of them had scored $\displaystyle 4$ more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin.
OR
(b)
Solve the linear equations $\displaystyle 3 x+\mathrm{y}=14$ and $\displaystyle \mathrm{y}=2$ graphically.
Marking-scheme solution
Let the marks obtained by Veer and Kevin be V and K respectively.
According to the question,
\[\mathrm{V}=2 \mathrm{~K}+6
\]
\[\mathrm{V}+\mathrm{K}+4=40
\]
Solving (i) and (ii) we get, \(\displaystyle \mathrm{V}=26\) and \(\displaystyle \mathrm{K}=10\)
∴ Veer obtained $\displaystyle 26$ marks and Kevin obtained $\displaystyle 10$ marks.
Correct solution: \(\displaystyle x=4, \mathrm{y}=2\)
All Pair of Linear Equations in Two Variables questions2026 question paperNCERT solutions: Pair of Linear Equations in Two VariablesPractice Pair of Linear Equations in Two Variables →
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