In a row of girls, Sita is 12th from the left and Radha is 16th from the right. If they interchange their positions, Sita becomes 20th from the left. What is Radha's new position from the right?
24th
This is a positional ordering-and-ranking problem. We track how Sita and Radha swap seats in a row of girls and use the standard formula linking left-position, right-position and the total.
Given data: Sita is 12th from the left, Radha is 16th from the right, and after they interchange positions Sita becomes 20th from the left.
When the two girls swap, Sita moves into Radha's original seat. Sita is then 20th from the left, which means Radha's original position was also \(20\text{th}\) from the left.
Now Radha's old seat is described two ways: 16th from the right and 20th from the left. The total count is \(\text{left} + \text{right} - 1 = 20 + 16 - 1 = 35\) girls in the row.
After the swap, Radha moves into Sita's original seat, which was 12th from the left.
Her new position from the right is \(\text{Total} - \text{left} + 1 = 35 - 12 + 1 = 24\).
The key concept is the counting identity \(\text{position from left} + \text{position from right} = \text{total} + 1\), applied to a fixed row of 35 girls.
So Radha's new position from the right is 24th.
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