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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 180.
x : y : z = 6 : 8 : 9
we can express the three numbers as:
x = 6k, y = 8k, z = 9k
k is a constant factor. The sum of these numbers is 460:
⇒ x + y + z = 460
⇒ 6k + 8k + 9k = 460
⇒ 23k = 460
⇒ k = 460 / 23 = 20
⇒x = 6k = 6 × 20 = 120
⇒ y = 8k = 8 × 20 = 160
⇒ z = 9k = 9 × 20 = 180
The largest number among these is ( z = 180).