Question

If 2 numbers are in the ratio 6:13 and their L.C.M is 312,find the numbers

Answer 1

Let the required number be 6x and 13x.

So, their LCM is 78x

So,  

78x = 312

x = 312/78

x = 4

The required numbers are  

6x = 6 × 4  

= 24

and  

13x = 13 × 4

= 52

The two numbers are 24 and 52

Answer 2

Answer:

Step-by-step explanation:

Let the required number be 6x and 13x.

So, their LCM is 78x

So,  

78x = 312

x = 312/78

x = 4

The required numbers are  

6x = 6 × 4  

= 24

and  

13x = 13 × 4

= 52

The two numbers are 24 and 52