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.

Answers

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 a
Given: 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 .