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**