Three numbers are in the ratio 2:3:4 and their sum is 54. Find the number

Let's guess and check.

Let's try 8

2 * 8 = 16

3 * 8 = 24

4 * 8 = 32

16 + 24 + 32 = 72 = = > too high

Let's try 6,

2 * 6 = 12

3 * 6 = 18

4 * 6 = 24

12 + 18 + 24 = 54 = = > perfect

Wow, I did not think I'd get that on the 2nd try.

So the numbers are 12, 18, and 24.