You need to find 3 numbers that multiply to 24, but you are given one of them. In other words, you need to find x and y such that

x*2*y = 24

One of your numbers will be x*2. The other of your numbers will be 2*y. You are not allowed to choose x and y such that they have any common factors.

From the above equation, we know that

x*y = 12

From our math facts, we know that

12 = 1*12 = 2*6 = 3*4

Of these factor pairs, we eliminate 2, 6 because they have 2 as a common factor. Thus, choices for your two numbers are (x, y) = (1, 12) or (3, 4)

1*2 = 2, 2*12 = 24 {2, 24} is one solution to your problem

3*2 = 6, 4*2 = 8 {6, 8} is another solution to your problem

x*2*y = 24

One of your numbers will be x*2. The other of your numbers will be 2*y. You are not allowed to choose x and y such that they have any common factors.

From the above equation, we know that

x*y = 12

From our math facts, we know that

12 = 1*12 = 2*6 = 3*4

Of these factor pairs, we eliminate 2, 6 because they have 2 as a common factor. Thus, choices for your two numbers are (x, y) = (1, 12) or (3, 4)

1*2 = 2, 2*12 = 24 {2, 24} is one solution to your problem

3*2 = 6, 4*2 = 8 {6, 8} is another solution to your problem