Question

The LCM of 2 numbers is 14 times their HCF.
The sum of LCM and HCF is 600.​

Answer 1

Step-by-step explanation:

answer is in the attachment

hope it helps you

Answer 2

Correct Question :

• The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. if one number is 280,then find other number

Answer :

• Other number is 8

Given :

• The LCM of two number is 14 times their HCF
• The sum of LCM and HCF is 600
• One number is 280

To find :

• Other number

Solution :

• Let the HCF be x

Given, The LCM of two numbers is 14 times their HCF so,

• LCM be 14x

According to question :

The sum of LCM and HCF is 600 so,

➟ x + 14x = 600

➟ 15x = 600

➟ x = 600/15

➟ x = 40

• HCF = x = 40
• LCM = 14x = 14(40) = 560

Finding the other number :

And also Given, one number is 280 so,

• Other number be x

• LCM × HCF = one number × other number

➟ 560 × 40 = 280 × x

➟ x = 560 × 40 / 280

➟ x = 22400/280

➟ x = 80

Hence , Other number is 80.

Verification :

➟ x + 14x = 600

➟ 40 + 14(40) = 600

➟ 40 + 560 = 600

➟ 600 = 600

Hence , Verified

➟ 560 × 40 = 280 × x

➟ 560 × 40 = 280 × 80

➟ 22400 = 22400

Hence , Verified