one fourth of a herd of Camels was seen in the forest twice the square root of the herd had gone to mountain and remaining 15 camels was seen on the bank of river find the total number of Camels
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Let x be the total numbers of camels.
Number of camels seen in the forest = x/4
Number of camels gone to mountains = 2√x
Number of camels on the bank of river = 15
Total number of camels = x/4 + 2√x + 15 = x
⇒ x + 8√x + 60 = 4x
⇒ 3x - 8√x – 60 = 0
Put √x = y
⇒ 3y2 – 8y – 60 = 0
⇒ 3y2 – 18y + 10y – 60 = 0
⇒ 3y(y – 6) + 10(y – 6) = 0
⇒ (y – 6)(3y + 10) = 0
⇒ y = 6 or 3y + 10 = 0
⇒ y = 6 or y = - 10/3
Now y = 6
⇒ √x = 6
On squaring x = 36
Hence, total number of camels = 36
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