Question

LCM of two natural numbers are 24. If their sum is 14 then find the numbers​

Answer 1

Step-by-step explanation:

Let numbers are x and y.

As LCM is defined only for positive integers and we are talking about LCM here .

It satisfies that both x and y are positive integers.

Given :

x+y=14

LCM(x,y)=24

Which means x*y =k*24.

( by basic definition of lcm)

where k is positive integer.

Lets take all possible x,y pair where sum is 14 ,as it is a small number. But since LCM is an even number atleast one of the values must be even .

Thus possible pairs are

12,2. Lcm 12

10,4. Lcm 20

8,6. Lcm 24

Thus 8,6 is answer

x=8,y=6

Or

x=6 ,y=8