Question

Obtain two numbers. Such that HCF is 20 and their LCM is 300?

Answer 1

We have to find two numbers such that HCF of two numbers is 20 and LCM of that numbers is 300.

solution : here HCF of two numbers is 20. so we can assume two numbers are ; 20a , 20b

[ where a and b are co-prime numbers. ]

LCM of two numbers = 20ab = 300

⇒ab = 15

⇒a = 3 , b = 5 , where 3 and 5 are co - prime

numbers so, two numbers are ; 20 × 3 , 20 × 5. i.e. 60 , 100

Therefore two required numbers are 60, 100.

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Answer 2

Answer:

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