The ratio of three numbers is 9: 8: 7. If the sum of the three numbers is 480, then what is the largest number among the three numbers?

Correct option is B

Given:
Ratio of three numbers = 9:8:7
Sum of the three numbers = 480
Solution:
Let the three numbers be 9x, 8x, and 7x.
Sum of the numbers = 9x + 8x + 7x
9x + 8x + 7x = 480
24x = 480
x = 20
The largest number among 9x, 8x, and 7x is 9x:
9x = 9 $$\times$$​ 20 = 180
Thus, the largest number is 180.