Real Numbers
RD Sharma
CBSE
Grade 10
Question:
If two numbers are in the ratio $15 : 11$ and their HCF is $13$, then the numbers are:
(a) $195, 143$
(b) $150, 110$
(c) $130, 100$
(d) $185, 133$
Step-by-Step Solution
Key Concept: If numbers are in ratio $x : y$ with $\text{HCF} = h$, numbers are $x h$ and $y h$.
First number $= 15 \times 13 = 195$. [0.5 Mark]
Second number $= 11 \times 13 = 143$. Numbers are $195$ and $143$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
First number $= 195$: 0.5 Mark
Second number $= 143$: 0.5 Mark
Correct Answer: $195, 143$
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