Question

The HCF of two numbers is 3 and their product is 504 .The LCM of the number is

Answer 1

Step-by-step explanation:

HCF*LCM=product of 2no.s

3*LCM=504

LCM=504÷3

LCM=168

Answer 2

Answer:

21 or -24

Step-by-step explanation:

Difference between two numbers is 3

Let one number be x, other number will be x+3

Product of two numbers is 504

It implies that,

(x)(x+3)=504

⇒x 2 +3x−504=0

⇒x 2−21x+24x−504=0

⇒x(x−21)+24(x−21)=0

⇒(x−21)(x+24)=0

⇒(x−21)=0or(x+24)=0

therefre x=21 or -24