Real Numbers
RD Sharma
CBSE
Grade 10
Question:
The HCF of two numbers is $27$ and their LCM is $162$. If one of the numbers is $54$, the other number is:
(a) $36$
(b) $81$
(c) $9Task$
(d) $108$
Step-by-Step Solution
Key Concept: Other number $= \dfrac{\text{HCF} \times \text{LCM}}{\text{Given number}} = \dfrac{27 \times 162}{54}$.
Other number $= \dfrac{27 \times 162}{54} = \dfrac{162}{2} = 81$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Calculation $(27 \times 162)/54 = 81$: 1.0 Mark
Correct Answer: $81$
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