Question

The product of the L.C.M. and H.C.M. of two numbers is 24 . The difference of two numbers is 2. Find the number​

Answer 1

Answer:

6 and 4

Step-by-step explanation:

the product of 6 and 4 is 24 and their difference is 2.

so answer will be 6 and 4.

Answer 2

Step-by-step explanation:

The product of the LCM and HCF of two numbers = 24.

The difference between the two numbers = 2.

So x(x-2) = 24

x^2-2x-24 = 0

(x-6)(x+4) = 0

So the numbers are 6 and 4.

Check:

4 = 2x2

6 = 2x3

HCF = 2 and LCM = 2x2x3 = 12. Product of LCM and HCF = 24. Correct.