Question

Delsey and lcm of two number is 14 times their hcf the sum of their hcf and lcm is 600 if one number is 288 find the other number

Answer 1

Answer:

Step-by-step explanation:

80

the one number is 280 not 288

given lcm is 14 times hcf

let lcm = x

let hcf = y

               x=14y ----------------(1)

given x + y= 600

  14y + y = 600  (from 1)

            15y = 600

               y=600/15

               y=40

                substitute it in equation  (1)

                 x=14y

                 x = 14*40

                 x = 560

therefor the LCM of two numbers is 560 and their HCF is 40

      LCM*HCF=product of numbers

let the unknown number be (a)

        560*40=280*a

                   a=560*40/280

                    a = 80

therefore the unknown number is 80