Question

43. The product of the LCM and HCF of two
natural numbers is 24. The difference of two
numbers is 2. Find the numbers. [Diksha]​

Answer 1

Answer:

The product of LCM and HCF of two numbers is always equal to the product of the numbers

Let one number =x

Second number = x+2

Hence x*(x+2)=24

Or x^2+2x-24=0

I.e. (x+6)(x-4)=0

Now either x+6=0 i.e. x=-6

or x-4=0 i.e. x=4

Since the numbers are positive

Hence one numbers=x

And the second number=x+2=4+2= 6

4. and 4+2=6

4 and 6

hope its helpful(^^)