The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is
The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is
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2018-04-10 22:42:31 | Votes
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# Let the HCF of numbers = H
Their LCM = 12H
According to the question,
12H +H = 403
13H = 403
H = $\frac{403}{13}=31$
LCM = 12 × 31
Now,
First number × second number
= HCF × LCM
= 93 × Second Number
= 31 × 31 × 12
Second number =$\frac{31\times 31\times12}{93}$ = 124
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