Assertion : The HCF of two numbers is 5 and their product is 150, then their LCM is 30 Reason : For any two positive integers a and b, HCF (a, b) +LCM (a,b) = a × b.
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Assertion is correct but the reason is not correct.
Solution: Let the two positive numbers be a and b. Product of a and b is 150.
Formula for calculating LCM when product and HCF is given:
LCM = Product/ HCF
Here, HCF= 5
Putting values:
LCM = 150/5
= 30
which is given in the question as assertion.
The formula given in reason is incorrect since the operation used in it is addition instead of multiplication.
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