Correct Answer - Option 1 : 56
Given:
If (x + y) : (y + z) : (z + x) = 10 : 11 : 13 and x + y + z = 238.
Concept used:
Ratio and Proportion
Calculation:
(x + y) : (y + z) : (z + x) = 10 : 11 : 13
Let x + y = 10k, y + z = 11k and z + x = 13k.
Adding all three
2(x + y + z) = 34k
Where x + y + z = 238 (given)
2 × 238 = 34k
k = 14
z + x = 13k
z + x = 13 × 14
z + x = 182
As we know x + y + z = 238
y = 238 - 182
y = 56
