#### Question :

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 750. If one number is 250, then find the other number.Submitted on 3/3/2024 | Answered by Vandana Rana#### Answer :

Let the other number be aGiven: L C M + H C F = 600

LCM =14 HCF

⇒ 14 H C F + H C F = 600

⇒ 15 H C F = 600

⇒ H C F = 40

⇒ L C M = 14 × 40 = 560

Since HCFxLCM=Product of 2 numbers

=> 40 × 560 = 280 × a

⇒ a = (40 × 560)/ 280

⇒ a = 40 × 2

⇒ a = 80

hence the other number is 80 .