Question

if LCM,GCD of two numbers are a,b and one of the numbers is 'c' then another number is​

Answer 1

Answer:

given that for two numbers

HCF=k(a−b)

LCM=a+b

one number is k

using the formula

HCF×LCM=n×m

where n,m are two numbers

Now

k(a−b)×(a+b)=k×m

(a−b)×(a+b)=m

⇒m=a

2

−b

2

The other number is a

2

−b

2