HCF Q7

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

[A] 2 and 4

[C] 8 and 6

[B] 6 and 4

[D] 8 and 10

Answer : [B]

Explanation :

Let the numbers be x and (x + 2).

Then, x(x + 2) = 24    x2 + 2x - 24 = 0

(x - 4) (x + 6) = 0

x = 4

So, the numbers are 4 and 6