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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 1 · Set 1 · Q26
Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is 13. Find the numbers.
Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is $\displaystyle 13$ . Find the numbers.
Marking-scheme solution
Let the numbers be x and \(\displaystyle \mathrm{y}, \mathrm{x}>\mathrm{y}\)
Therefore \(\displaystyle \frac{1}{2}(\mathrm{x}-\mathrm{y})=2 \quad\) - (i)
and \(\displaystyle 2 \mathrm{y}+\mathrm{x}=13\) - (ii)
Solving equations (i) and (ii)
\[x=7, y=3
\]
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.