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Three numbers, X, Y and Z are in the ratio of 13 : 17 : 22 and their summation is 364, Find the ratio between difference of Y and X and the difference of Z and Y. 


1. 3 : 4
2. 4 : 5
3. 5 : 6
4. 6 : 5

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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

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