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The HCF of two numbers is (30) and their LCM is (900). If the numbers are (30a) and (30b), which statement about (a) and (b) is correct?
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Answer and explanation
Correct answer: Product of (a) and (b) is (30) and they are coprime
Step 1: If HCF is (30), the numbers can be written as (30a) and (30b), where (a) and (b) are coprime. Step 2: LCM becomes (30ab=900), so (ab=30). Step 3: Factor out the HCF to simplify such problems.
Frequently asked questions
What is the correct answer to this question?
Product of (a) and (b) is (30) and they are coprime
Why is this the correct answer?
Step 1: If HCF is (30), the numbers can be written as (30a) and (30b), where (a) and (b) are coprime. Step 2: LCM becomes (30ab=900), so (ab=30). Step 3: Factor out the HCF to simplify such problems.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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