Question

1/4th herd of camels were seen in forests. Twice the square root of the herd had gone to the mountains and the remaining 15 camels were seen on the bank of the river. Find total number of camels.

Answer 1

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Answer 2

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Let us assume that the total number of camels be x. Then,

Number of camels was seen in the forest = x/4

Number of camels had gone to mountains = 2√x    

Number of camels were seen on the bank of a river = 15

Total number of camels = x/4 + 2√x + 15

By hypothesis, we have

Therefore, x/4 + 2√x + 15 = x

→ 3x - 8√x - 60 = 0

→ 3y² - 8y - 60 = 0 ,      where x = y²

→ 3y² - 18y + 10y - 60 = 0

→ 3y ( y - 6 ) + 10 ( y - 6) = 0     ( middle term splitting )

→ ( 3y + 10 ) ( y - 6 ) = 9

→ y = 6     or, y = ₋ 10/3

Now, y = ₋ 10/3

⇒ x = ( ₋ 10/3 )² = 100/9                   ( x = y² )

But, the number of camels never be in fraction.

y = 6

x = 6²                                                ( x = y² )

x = 36

Hence, the total number of camels be = 36.