Setup (positions from front): Let position of the front be 1 and last be N.
|a − b| = 6
.|b − 4| = 9
⇒ b = 13 (the other choice −5 is invalid).Now, with b = 13, we need |a − 13| = 6
⇒ a = 7 or a = 19.
But a = N − 21, so:
• If a = 7, then N = 28.
• If a = 19, then N = 40.
Both satisfy all conditions; the minimum possible is:
From Oldest to Youngest:
Yamini > Rakhi > Shweta > Pooja
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