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.
Find the total number of camels.​

Answer 1

Answer:

36÷4=9, 2×6=12 12+9=21, 36-21=16

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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