Question

ONE FOURTH OF A HERD OF CAMELS WAS SEEN INT THE FOREST.TWICE THE SQUARE ROOT OF HERD HAD GONE TO MOUNTAIN AND 15CAMELS WERE SEEN ON THE RIVER.FIND TOTAL NO OF CAMELS

Answer 1

Answer: Number of camels in the herd are 36.

Solution:

Let total number of camels in the herd are x.

Here A.T.Q.
One fourth of that group seen in forest : $\frac{x}{4}$

Twice the square root of group are seen in mountains =$2 \sqrt{x}$

camels seen near river = 15

So

$\frac{x}{4} + 2 \sqrt{x} + 15 = x \\ \\ \frac{x}{4} - x + 15 = - 2 \sqrt{x} \\ \\ \frac{x - 4x + 60}{4} = - 2 \sqrt{x} \\ \\ \frac{ - 3x + 60}{4} = - 2 \sqrt{x} \\ \\ - 3x + 60 = - 8 \sqrt{x}$
squaring both sides
${( - 3x + 60)}^{2} = {( - 8 \sqrt{x} )}^{2} \\ \\ 9 {x}^{2} + 3600 - 360x = 64x \\ \\ 9 {x}^{2}-360x - 64x + 3600 = 0 \\\\9{x}^{2}-424x+ 3600=0$

apply Quadratic formula to solve

$x_{1,2} = \frac{424 ± \sqrt{179776 - 4 \times 9 \times3600 } }{18} \\ \\ x_{1,2} = \frac{424 ±\sqrt{179776 - 129600} }{18}\\\\x_{1,2} = \frac{424 ± \sqrt{50176} }{18}\\\\x_{1,2} = \frac{424±224 }{18}\\\\x_{1}=\frac{648}{18}\\\\x_{1} =36\\\\x_{2}=\frac{200}{18}\\\\x_{2} =11.111$
Discard value of x2 since number of camels cannot be fractional.

Answer 2

Answer:

The number of camels is 36.

Step-by-step explanation:

For explanation, see the given photo.