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Product of Two Numbers = HCF X LCM of the Two Numbers

The LCM of tw...

Question

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 .

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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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