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