Question

One fourth of a herd of camel was seen in forest..Twice the square root of the herd had gone to mountain and the remaining 15 camels were seen on the banks of a river.Find the total number of camels.

Answer 1

Let total number of camels be 'x'
Then no. of camels seen in forest = x/4
No. of camels gone to mountain = 2√x
No. of camels seen on the bank = 15

Therefore, Total no. of camels,
x = x/4 + 2√x + 15
⇒ x = (x + 8√x + 60)/4
⇒ 4x = x + 8√x + 60
⇒ 3x - 8√x - 60 = 0
⇒ 3x - 18√x + 10√x - 60 = 0
⇒ 3√x(√x - 6) + 10(√x - 6) = 0
⇒ (3√x +10)(√x - 6) = 0
⇒ (3√x +10) = 0 or (√x - 6) = 0
⇒ √x = -10/3 or √x = 6
on squaring,
⇒ x = 100/3 or x = 36
No. of camels can not be a fraction
Hence x = 36

Ans. No. of camels = 36