Question

Please solve as soon as possible!!
One fourth of a herd of camel lives in a forest. Twice the square root of the herd had gone to the mountains and the remaining 15 camels are seen on river side. Find the total number of camels.

Answer 1

Let the total number of camels = x.

Given that one-fourth of a herd of camel lives in a forest = x/4  ----- (1)

Given that Twice the square root of the herd = $2 \sqrt{x}$  ---- (2)

Given that number of remaining camels  = 15.  ---- (3)


On solving (1),(2),(3), we get

$\frac{x}{4} + 2 \sqrt{x} + 15 = x$

$x + 8 \sqrt{x} + 60 = 4x$

$8 \sqrt{x} = 4x - x - 60$

$8 \sqrt{x} = 3x - 60$

On Squaring both sides, we get

$8x = (3x - 60)^2$

8x = 9x^2 + 3600 - 360x

9x^2 - 424x + 3600 = 0

9x^2 - 324x - 100x + 3600 = 0

9x(x - 36) - 100(x - 36) = 0

(9x - 100)(x - 36) = 0

x = 100/9 (or) x = 36

There should not be a fraction. So x = 36.


Therefore the number of camels = 36.


Hope this helps!

Answer 2

Let the no. of camels bex
No. of camels seen in the forest 4
No. of camels gone to mountains 2vx
No of camels on the bank of river-15
4
4x-60-x
4
8,x = 3x-60
64x9x2- 360x +3600
9x2-424x 3600 0
2a
424+ (424)2-4x9x3600
2×9
424t 179776-129600
18
424+v50176
18
424+224
18
100
or-
Hence number of camels is 36