Question

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 a river. The total number of camels is:
..​

Answer 1

Answer:

36 .

Step-by-step explanation:

Let the total number of camel be x .

No. of camel seen in forest = x / 4

No. of camel gone to mountains = 2 √ x

No. of camel seen on bank of river = 15

Total no. of camel .

x / 4 + 2 √ x + 15

x = x / 4 + 2 √ x + 15

3 x - 60 = 8 √ x

Squaring on both sides:

64 x = 9 x² - 360 x + 3600

9 x² - 424 x + 3600 = 0

( x - 36 ) ( 9 x - 100 ) = 0

x = 36 or x = 100 / 9

Since camels cannot be in fraction .

Hence final answer i.e. total numbers of camels are 36.

Answer 2

Answer:

Let the total number of camels be = x^2

Camels in forest = (x^2)/4

Camels on mountains = 2x

Camels on bank of river = 15

Thus:

x^2/4 + 2x + 15 = x^2

=> x^2 + 8x + 60 = 4x^2

=> 3x^2 - 8x - 60 = 0

=> 3x^2 - 18x + 10x - 60 =0

=> 3x(x - 6) + 10(x - 6) = 0

=> (3x + 10)(x - 6) = 0

=> x = 6, -10/3

Since, the number of camels can't be negative, x = 6

x^2 = 36

Thus, total number of camels = 36

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