Question

The LCM of 2 Numbers is 14 times their HCF The sum of LCM And HCF is 600 . If one number is 280, Then find the another number...​

Answer 1

Step-by-step explanation:

Let the other number be

′

x

′

Given:LCM+HCF=600

⇒14HCF+HCF=600

⇒15HCF=600

⇒HCF=40

⇒LCM=14×40=560

Since HCFxLCM=Product of 2 numbers

=>40×560 = 280×x

⇒x=

280

40×560

⇒x=40×2

⇒x=80

hence the other number is 80.