Correct Answer - Option 2 : 4 : 5
Given:
X : Y : Z = 13 : 17 : 22
Calculation:
Let the number X, Y and Z be 13a, 17a and 22a respectively
⇒from the question, 13a + 17a + 22a = 364
⇒ 52a = 364
⇒ a = 364/52
⇒ a = 7
⇒ required ratio = (17 × 7 – 13 × 7) / (22 × 7 – 17 × 7)
⇒ required ratio = 28/35
⇒ required ratio = 4 : 5
∴ required ratio = 4 : 5