Question

the LCM of two number is 14 times their HCF the sum of LCM and HCF is 600. if one number is 280 then find the another number

Answer 1

let the other number be x
LCM = 14×HCF(280,x)
HCF=600
LCM= product of x and280/HCF
14×HCF=280x/HCF
14×600=280x/600
x=14×600×600/280
x=18000

Answer 2

Hii friend,

Let the HCF of two numbers is X.

Then the LCM of two numbers is 14X.

A/Q,

X+14X = 600

15X = 600

X = 600/15 = 40

THEREFORE,

HCF of two numbers = 40

And,


LCM of two numbers = 14X = 14×40 = 560


We know that,


One Number × Other Number = HCF × LCM

280 × other number = 40 × 560

Other Number = 40×560/280

Other Number = 22400/280 = 80

HENCE,

THE OTHER NUMBER = 80

HOPE IT WILL HELP YOU... :-)