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Question
`(x + y)/z = (y + z)/x = (z + x)/y` is equal to ______.
Options
0
1
2
–2
MCQ
Fill in the Blanks
Solution
`(x + y)/z = (y + z)/x = (z + x)/y` is equal to 2.
Explanation:
If `a/b = c/d = e/b = (a + c + e)/(b + d + f)`
Given `(x + y)/z = (y + z)/x = (z + x)/y`
= `(x + y + y + z + z + x)/(z + x + y)`
= `(2(x + y + z))/(x + y + 2)`
= 2
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