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 number.

Answer 1

$<b>GIVEN: HCF+LCM= 600, ONE NUMBER= 280 Let the HCF= X LCM= 14X HCF+LCM= 600 X+ 14X=600 15X= 600 X= 600/15 X= 40 HCF= 40 LCM = 14X= 14× 40= 560 HCF×LCM= 1ST NUMBER × 2ND NUMBER 40× 560= 280× 2ND NUMBER 2ND NUMBER= (40×560) /280 2ND NUMBER= 40×2 2ND NUMBER= 80$

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Answer 2

let the HCF be x then LCM will be 14x.
now,
x+14x= 600
x=40. 14x=560
product of numbers = LCM X HCF
280*Y = 40*560
y=80
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