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

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Your problem `->` LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600 . If one number is 280 , then find the other number ?


`"LCM" = 14" HCF"`

`"LCM + HCF " = 600`

`=> 14 " HCF + HCF " = 600`

`=> 15 " HCF " = 600`

`=> "HCF " = 600 / 15 = 40`

Here, `"LCM" = 14 " HCF"`

`:. "LCM " = 14 * 40 = 560`.

`:. "Other No " = ( "HCF" * "LCM" ) / ("Given No"} = ( 40 * 560 ) / 280 = 80`.






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