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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 4 · Set 1 · Q21
Two numbers are in the ratio 2: 3 and their LCM is 180. What is the HCF of these numbers?
Two numbers are in the ratio $\displaystyle 2$ : $\displaystyle 3$ and their LCM is $\displaystyle 180$ . What is the HCF of these numbers ?
Marking-scheme solution
Let the numbers be 2x, 3x
\(\displaystyle \mathrm{LCM}=6 \mathrm{x}=180 \Rightarrow \mathrm{x}=30\)
∴ Numbers are $\displaystyle 60$, $\displaystyle 90$
HCF \(\displaystyle (60,90)=30\)
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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.