Math, asked by deepthidayal, 1 year ago

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

Answers

Answered by brunoconti
4

Answer:

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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