The LCM of two number is 14times their HCF. The sum of LCM and HCF is 600. If one number is 280,then find the other number
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Step-by-step explanation:
LCM(280 , b) = 14 × HCF(280 , b)
LCM(280 , b) + HCF(280 , b) = 600
14×HCF(280 , b) + HCF(280 , b) = 600
15 × HCF(280 , b) = 600
HCF(280 , b) = 40
LCM(280 , b) = 14 × 40 = 560
LCM(280 , b) × HCF(280 , b) = 280×b
560 × 40 = 280 × b
b = 560 × 40 / 280 = 80
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