Question : If X : Y = 2 : 3 and Y : Z = 6 : 7, then what is the value of (X + Z) : Y?
Option 1: 17 : 14
Option 2: 17 : 15
Option 3: 11 : 6
Option 4: 11 : 8
Correct Answer: 11 : 6
Solution :
Given,
X : Y = 2 : 3
And Y : Z = 6 : 7
$\therefore$ X : Y : Z = 4 : 6 : 7
⇒ (X + Z) : Y = (4 + 7) : 6 = 11 : 6
Hence, the correct answer is 11 : 6.
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