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### Question

If $x/6 = y/12 = z/28$, then ${x + y + z}/x$ = ?

**A**

$7{2/3}$.

**B**

13.

**C**

$6{2/3}$.

**D**

$6{2/5}$.

**Soln.**

**Ans: a**

Let $x/6 = y/12 = z/28$ = k. Then ${x + y + z}/x$ is same as ${6k + 12k + 28k}/{6k}$ which equals $7{2/3}$.

${23/3}$ is same as $7{2/3}$.