Question

If xy =180 and HCF (x y) =3 find the LCM (x'y)

Answer 1

Step-by-step explanation:

LCM×HCF=x×y....Equation 1

Now, we have given that LCM=180 AND HCF=15

Solving the equation 1 we will get

xy=180×15=2700 Equation 2

Now, (x−y)

2

=x

2

+y

2

−2xy

Solving this we will get, x−y=

255

=15

Hence the difference between the given two numbers is 15.

Answer 2

Answer:

HCF × LCM = product of two numbers

3 × LCM = 180

Therefore

LCM = 180/3

Therefore LCM is 60