Question

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 number

Answer 1

Let the H.C.F be x
Let the L.C.M = 14x
x + 14x = 600
15x = 600

X = 40
HCF = 40
LCM = 14 X 40 = 560
Other number = 560×40280 =80

Answer 2

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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