Question

17. The product of L.C.M. and H.C.F. of two numbers is 24 , then their (numbers)
product is *
O a. 36
O b. 6
Oc.
c. 24
O d. none of these​

Answer 1

Step-by-step explanation:

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+2i.e. 6

4 and 6

Answer 2

Answer:

(C) 24

Step-by-step explanation:

HCF * LCM = Product Of Two Numbers (This is a Identity)

Using this we get

LCM * HCF = 24 (given)

LCM * HCF = Product of two Numbers

Product of two Numbers = 24