Question

Vijay is $17$ from the left end of a row of $29$ boys and Manish is $17$ from the right end in the same row. How many boys are there in between them in the row?

Answer 1

Hint: Total number of boys is given. Positions of two people are also given. We can find the positions of them from the same end, say left. Then we can find the number of boys in between them.

Complete step-by-step answer:
Given that Vijay is $17$ from the left end of a row of $29$ boys and Manish is $17$ from the right end in the same row.
We need to find the number of boys in between them.
Total number of boys in the row is $29$.
Then we have the central position as $15$.
So since Vijay is $17$ from the left end and Manish is $17$ from the right end, we can see that Vijay is to the right of Manish.
And the middle position is $15$ from both the ends.
So there are three positions in between Vijay and Manish, which are the central position, $16th$ position from left and right ends.
We can see that the $16^{th}$ position from right will be $14^{th}$ position from left.
Similarly $17^{th}$ position from right will be $13^{th}$ position from left.
So Vijay’s position is $13^{th}$ from left and Manish’s position is $17^{th}$ from left.

This means there are three positions between Vijay and Manish.

$\therefore $ The answer is three.

Note: Here the given two positions are from two different ends. If they were given with respect to the same end, we can simply count the number of boys in between. But here we had to find the respective positions from the same end.