The LCM of two numbers is 600 and HCF is 8 if one of the numbers is 24 then the other number is

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

Solution

GIVEN: HCF+LCM= 600, ONE NUMBER= 280 Let the HCF= X LCM= 14X HCF+LCM= 600 X+ 14X=600 15X= 600 X= 600/15 X= 40 HCF= 40 LCM = 14X= 14× 40= 560 HCF×LCM= 1ST NUMBER × 2ND NUMBER 40× 560= 280× 2ND NUMBER 2ND NUMBER= (40×560) /280 2ND NUMBER= 40×2 2ND NUMBER= 80 Hope this will help you....
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