Question

The LCM of two numbers
of two numbers in 495 and their
HCF
is 5. If the sum of the numbers is 100,
then their difference is :​

Answer 1

Answer:

its 10 this is how

Step-by-step explanation:

Let one number be x

Then other number be 100-x

LCM =495 and HCF=5

Product of number =HCF×LCM

∴x(100−x)=495×5

⇒100x−x = 2475

⇒x−100x+2475=0

⇒x −45x−55x+2475=0

⇒x(x−45)−55(x−45)=0

⇒(x−45)(x−55)=0

∴ The one number is 45, then another number =100−45=55

if one number is 55, then another number =100−55=45

then the difference =55−45=10

HOPE YOU UNDERSTAND and can you mark it as brainliest if only your satisfied with it