Question

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

Answer 1

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Given,

One fourth of a herd of camels was seen in forest.

Twice of square root of the herd had gone to mountains and remaining 15 camels were seen on the bank of a river.

To Find,

The Total numbers of camel.

Solution :-

Let x be the total numbers of camels.

Camels seen in the forest = x/4

Camels gone to mountains = 2√x

According to the Question,  

x + 8√x + 60 = 4x

⇒ 3x - 8√x - 60 = 0 ....(i)

Putting √x = y in Eq (i), we get

⇒ 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, - 10/3 (Rejecting negative sign's one)

⇒ y = 6

⇒ √x = 6

Squaring both sides, we get

⇒ x = 36

Hence, total number of camels is 36.

Answer 2

Answer:

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To Find,

The Total numbers of camel.

Solution :-

Let x be the total numbers of camels.

Camels seen in the forest = x/4

Camels gone to mountains = 2√x

According to the Question,

x + 8√x + 60 = 4x

⇒ 3x - 8√x - 60 = 0 ....(i)

Putting √x = y in Eq (i), we get

⇒ 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, - 10/3 (Rejecting negative sign's one)

⇒ y = 6

⇒ √x = 6

Squaring both sides, we get

⇒ x = 36

Hence, total number of camels is 36.