If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is

(a) 203400
(b) 194400
(c) 198400
(d) 205400

Let the HCF be x and the LCM of the two numbers be y.

It is given that the sum of the HCF and LCM is 1260

…… (i)

And, LCM is 900 more than HCF.

…… (ii)

Substituting (ii) in (i), we get:

Substituting in (ii), we get:

We also know that the product the two numbers is equal to the product of their LCM and HCF

Thus the product of the numbers

Hence, the correct choice is (b).