Question

Q. L.M. of two numbers. And H.M are 75 and 5, respectively. If the difference between the two numbers is 10, then what is the sum of these two numbers?​

Answer 1

Answer:

10

Step-by-step explanation:

A

10

Let one number =x Then other number =100−x

LCM =495 and HCF=5

Product of number =HCF×LCM

∴x(100−x)=495×5

⇒100x−x

2

=2475

⇒x

2

−100x+2475=0

⇒x

2

−45x−55x+2475=0

⇒x(x−45)−55(x−45)=0

⇒(x−45)(x−55)=0

⇒x=45 or 55

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

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

∴ Required difference =55−45=10