Question

the LCM of two numbers is 9 times their HCF. the sum of LCM and HCF is 500 . find the HCF of the two numbers? ​

Answer 1

Answer:50

Step-by-step explanation:

Let the HCF of 2 numbers be x

Therefore, LCM is 9x ( given in question)

Now, a/q x + 9x= 500

10x=500

x=50 ans..

Answer 2

Step-by-step explanation:

Let's assume LCM as y and HCF as x.

Since,                 y + x =500

Therefore,          y = 500 - x   ---------  1

According to the question,    

                                         LCM = 9 HCF

Therefore,                         y = 9x   ----------   2

From 1 and 2,        

                         500 - x = 9x

Therefore,         500 = 9x + x = 10x

So,                           500 / 10 = x

Therefore,          50 = x

Hence, the HCF of the 2 numbers is 50.