The L.C.M. of two co-primes x and y is 24. If x is doubled and y is tripled, their L.C.M. becomes 144. Find x + y.
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The LCM of two coprime numbers is always their product. For example, 5 and 9 are coprime numbers. Hence, LCM (5, 9) = 45. 1 forms a co-prime number pair with every number
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Given x and y are co-primes then HCF of them is 1.
Now we've,
HCF×LCM = product of the numbers
or, HCF×LCM =xy
or, LCM =xy. [ Since HCF=1]
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