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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.


Solution

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



 

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