Question

The LCM and HCF of two numbers are 240 and 12 respectively. If one of the numbers
is 60, then find the other number​

Answer 1

Other number = 48.

Step-by-step explanation:

Given :

LCM = 240, HCF = 12 and one of the two numbers = 60.

To find :

The other number.

Solution :

Product of the two numbers = product of their LCM and HCF

i.e.

First number × Second number = LCM × HCF.

=> 60 × Second number = 240 × 12

=> Second number = (240 × 12) ÷ 60

=> 48.

Hence, the other number is 48.

Answer 2

Given : The LCM and HCF of two numbers are 240 and 12 respectively.  one of the numbers is 60,  

To  find : the other number​

Solution:

LCM ( a , b)  * HCF ( a, b)  = a * b

a = 60

b = ?

LCM = 240

HCF = 12

=> 240 * 12 = 60 * b

=> b = 48

another number is 48

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