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### Question

In a line of 70 boys, A is 6^{th} to the right of S and S is 11^{th} to the left of V. If A is 28^{th} from the right end of the row, what is the position of V from the left end of the row?

**A**

47

^{th}**B**

51

^{st}**C**

50

^{th}**D**

48

^{th}**Soln.**

**Ans: d**

Let the positions of A, S, V from the left end be a, s and v respectively. The position of the last end is 70. We are given that.

a = s + 6.

s + 11 = v.

a + 27 = 70.

We have to find the value of v. From the last equation, we have a = 70 - 27 = 43. Put it in first to get s = 43 - 6 = 37. Finally by the second equation, we have v = 37 + 11 = 48.