The ratio of three numbers is 6: 8: 9. If the sum of the three numbers is 460, then what is the largest number among the three numbers?

Correct option is D

Given:
Ratio of the three numbers = 6: 8: 9
Sum of the numbers = 460
Solution:
Let the three numbers be 6x, 8x, and 9x.
6x + 8x + 9x = 460
=> 23x = 460
x = 460 / 23 = 20
Thus, the largest number = 9x = 9 × 20 = 180