Question

The sum of lcm and hcf of two numbers is 1260. If their lcm is 900 more than their hcf, find the product of two numbers.

Answer 1

HEY FRIEND HERE IS UR ANSWER ,

Given that the sum of HCF and LCM = 1260.

LCM + HCM = 1260  --------------------- (1)

Given that their LCM is 900 more than the HCF.

Let HCF = x.   ------------ (2)

Then the LCM = 900 + x.   ------------------- (3)

On solving (1),(2),(3).

1260 = x + (900 + x)

1260 = x + 900 + x

1260 = 2x + 900

1260 - 900 = 2x

360 = 2x

x = 360/2

x = 180.

Now, we got

HCF = 180.

Then, LCM = 900

                   = 900 + 180

                  = 1080.

                  

We know that product of two numbers = HCF * LCM

                                                                 = 180 * 1080

                                                                 = 194400.

HOPE IT HELPS :)

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