Question

The LCM of 2 natural numbers is 24. If their sum is 14, find the numbers
Please show the working! ​

Answer 1

Let LCM of A & B is 24.

24=2∗2∗2∗3

So we can say A & B will be divisible by 2 or 3.

A+B=14,

So we can say A & B ≤ 14

For A=1, B will be 13 which is not divisible by 2 or 3

For A=2, B will be 12 but LCM = 12

For A=3, B will be 11 which is not divisible by 2 or 3

For A=4, B will be 10 but LCM = 20

A≠5, as it is not divisible by 2 or 3

For A=6, B will be 8 & LCM = 24

SO your answer is 6 & 8

Answer 2

2 natural numbers is 24 sooo the answer is 8