Question

The LCM of two numbers is 352

The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.

Answer 1

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.