Three numbers are in the ratio 4:5:6 and their average is 30. The largest number is:

🧠 Explanation:

Three numbers in the ratio 4:5:6 with an average of 30 are calculated as follows: let the numbers be 4x, 5x, 6x. Their average is (4x+5x+6x)/3 = 15x/3 = 5x = 30, so x = 6. Thus, the numbers are 24, 30, 36, and the largest is 36 (not 40, indicating a possible error in the provided answer). This problem tests ratio and average concepts, vital for mathematics, finance, or statistics, emphasizing logical steps to derive accurate numerical solutions.