Question

Arithmetic
1. The sum of HCF and LCM of two numbers is 435. LCM is 28 times the HCF.
If one of the numbers is 60, find the other number.​

Answer 1

Let the HCF of two numbers be x

and LCM of two numbers= 28x

The sum of HCF and LCM = 435 ...( Given)

According to the question

x+28x = 435

29x = 435

x= 15

Therefore,

HCF of two numbers =15

LCM of two numbers= 28x = 28×15 = 420

Now

LCM× HCF = Product of two numbers

420×15= 60 × Second number

Second number = (420×15)/60= 105