Question

the LCM of the two number is 24 their sum 14 what are the numers ​

Answer 1

Answer:

8 and 6                                                                              

Step-by-step explanation:

A simple solution for however big the numbers are.Let the numbers be X and Y.

LCM = 24

X + Y = 14

X*Y = C*24 by LCM rule

X*(14-X) = 24C

-X^2 + 14X - 24C = 0

X^2 - 14X +24C = 0

Now find two numbers that on addition give -14 and on multiplication should be a multiple of 24.

Here -8,-6 satisfy them.

So,(X - 8)(X - 6) = 0.

So if X =8,Y = 6.

If X= 6,Y = 8,

The numbers are 8 and 6.

Answer 2

since,

HCF=Sum of 2numbers/LCM

HCF=24/14

HCF=12/7

HCF=1.71428571