Question

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

Options

• 203400

•  194400

• 198400

• 205400

Answer 1

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

x + y = 1260 …… (i)

And, LCM is 900 more than HCF.

y = x + 900 …… (ii)

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

`x + x + 900 = 1200`

`2x +900=1260`

`2x = 1260 -900`

`2x = 360`

x = 180 

Substituting  x = 180  in (ii), we get:

y = 180 + 900

y = 1080

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

= 194400(180)

= 194400

Hence, the correct choice is (b).