Question

The LCM of 2 numbers is 14 times their HCF.The sum of LCM and HCF is 600 .If one number is 280 find the other

Answer 1

Heya !!!




Let HCF of two numbers be X .




LCM of two numbers = 14X



According to question,



Sum of LCM and HCF = 600




X + 14X = 600


15X = 600


X = 600/15


X = 40



HCF of two numbers = X = 40



And,


LCM of two numbers = 14X = 14 × 40 = 560




One number = 280


Other Number = ?




As we know that,



One Number × Other Number = HCF × LCM



280 × Other Number = 40 × 560




Other Number = 40 × 560/280


Other Number = 80



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Answer 2

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