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In a row of boys, Aman is 7th from the left end of the row and Sumit is 8th from the right hand of the row. If there are 5 boys between Sumit and Aman
Question



In a row of boys, Aman is 7th from the left end of the row and Sumit is 8th from the right hand of the row. If there are 5 boys between Sumit and Aman, how many boys are there in the row?

A.

20

B.

24

C.

22

D.

21

Correct option is A

Given:1. Aman is 7th from the left.2. Sumit is 8th from the right.3. There are 5 boys between Aman and Sumit.Let the total number of boys in the row be N.Position of Sumit from the left=N7(Since Sumit is 8th from the right)The difference between Aman and Sumit’s positions is (N7)7=5+1=6.So, N14=6=>N=20.Therefore, the total number of boys in the row is 20.\text{Given:} \\\text{1. Aman is 7th from the left.} \\\text{2. Sumit is 8th from the right.} \\\text{3. There are 5 boys between Aman and Sumit.} \\[8pt]\text{Let the total number of boys in the row be } N. \\\text{Position of Sumit from the left} = N - 7 \quad \text{(Since Sumit is 8th from the right)} \\\text{The difference between Aman and Sumit’s positions is } (N - 7) - 7 = 5 + 1 = 6. \\[8pt]\text{So, } N - 14 = 6 \quad \Rightarrow \quad N = 20. \\[8pt]\text{Therefore, the total number of boys in the row is } \boxed{20}.​​

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