Discussion Forum



1)

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 numhers


A) 2 and 4

B) 6 and 4

C) 8 and 6

D) 8 and 10

Answer:

Option B

Explanation:

Let the number are a and b


From the question we get,

a - b = 2
b = a-2
a (a-2) = 24
a2- 2a - 24 = 0
(a+4)(a-6) = 0
a = - 4 or a = 6

So the numbers are 4 and 6