Question

The LCM of two number is 14 times their HCF.The sum of LCM and HCF is 600. If one number is 280 then find the other number​

Answer 1

Answer:

80

Step-by-step explanation:

Let the other number be x

Given:LCM+HCF=600

⇒14HCF+HCF=600. (LCM=14hcf)

⇒15HCF=600

⇒HCF=40

⇒LCM=14×40=560

Since HCFxLCM=Product of 2 numbers

=>40×560 = 280×x

⇒x= (40×560)/280

⇒x=40×2

⇒x=80

hence the other number is 80.

Hope, this is the right answer.