Question

If two numbers are in the ratio 6:13 and their l.c.m. is 312, find the numbers

Answer 1

Solution:-
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.

Answer 2

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