One–fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of the river. Find the total number of camels.

Let the total number of camels be x.

Number of camels in forest = .

Number of camels gone to mountains = 2√x

Remaining camels on bank of the river = 15

Total camels =

4x = x + 8√x + 60

3x – 60 = 8√x

Squaring both the sides,

9x2 + 3600 – 360x = 64x

9x2 – 424x + 3600 = 0

On simplifying further,

9x2 – 100x – 324x + 3600 = 0

x(9x – 100) – 36(9x – 100) = 0

(x – 36)(9x – 100) = 0

x = or X = 36

The number of camels is 36. (As whole values are only considered)

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