Question

the lcm of two numbers is14 times their hcf the sum of lcm and hcf is 600 if one is280 then find the other number

Answer 1

hi

The lcm of two numbers is14 times their hcf

lcm = 14 * hcf

the sum of lcm and hcf is 600 

hcf + lcm = 600

so,

hcf + 14hcf = 600

15hcf = 600

hcf= 600/15

hcf = 40

now lcm = 14*40

=>560

one number is 280

lets recall a property,

hcf *lcm = product of 2 numbers

=> 40 * 560 = 280 * other

=>other number = = (40×560) /280

=> 80

hope it helps u

:)