Question

The Lcm of two numbers is 14times their HCF. The sum of LCM and HCF is 600.If one number is 280, then find the other number

Answer 1

LCM × HCF = PRODUCT OF THE TWO NUMBERS.

LCM = 14 HCF ....(1)

LCM + HCF = 600....(2 )

let the another number be x

USING equation 2 and substituting the value of equation 1 in 2

15HCF = 600

HCF = 40

LCM = 560.

WE HAVE

40 × 560 = x × 280

x = 80

hence another no is 80.

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