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In a row of girls, Gita and Madhu occupy the tenth place from the right end and eleventh place from the left end, respectively. If they interchange their places, then Gita and Madhu occupy eighteenth place from the right and Nineteenth place from the left respectively. How many girls are there in the row?

In a row of girls, Gita and Madhu occupy the tenth place from the right end and eleventh place from the left end, respectively. If they interchange their places, then Gita and Madhu occupy eighteenth place from the right and Nineteenth place from the left respectively. How many girls are there in the row? Correct Answer 28

CONCEPT :

If persons standing or sitting in a row, queue etc. that is linear arrangement, then we will count the total number of persons with the given formula.

T = L + R - 1

Where T = total numbers of person in the row.

L = position of a given person from the left side.

R = position of a given person from the right side.

EXPLANATION :

Given Gita is 10th from the right and Madhu is 11th from the left. 

When they interchange their places:

Gita will be 18th from the right & she will be 11th from the left (which is Madhu's position before interchange)

[ alt="F1 Bubun Madhuri 09.08.2021 D3" src="//storage.googleapis.com/tb-img/production/21/08/F1_Bubun_Madhuri_09.08.2021_D3.png" style="width: 213px; height: 138px;">

Thus the total number of girls in the row = (Gita's new position from right sides) + (Gita's new position from left sides) - 1

Total = (18 + 11) - 1

= 28

Thus, Total Girls = 28

CONCLUSION : 

Hence, 28 girls are there in the row.

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