Out of a herd of camel, $\frac{7}{2}$ times the square root of the total are grazing in the field and the remaining two are sitting in the field. Find the total number of camels.

Open in App

Solution

Suppose there are total number of Camels $= X^{2}$
$\frac{7}{2} \sqrt{X^{2}} + 2 = X,$

$2 X^{2} - 7 X - 4 = 0$

$2 X^{2} - (8 - 1) X - 4 = 0$

$2 X^{2} - 8 X + X - 4 = 0$

$2 X (X - 4) + 1 (X - 4) = 0$

$(2 X + 1) (X - 4) = 0$

Since $(2 X + 1) = 0$ gives the negative value that is not considerable.

$(X - 4) = 0 o r X = 4.$
Hence, there are total number of Camels $= X^{2} = 4^{2} = 16$

Suggest Corrections

Similar questions

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.

Q. One third of the herds of cows are grazing in the field,

20

less, than half of them are near the river. The remaining

35

are tied with the trees. Find the total number of cows in the herd.

Q. One fourth of a herd of deer has gone to the forest. One third of the total number is grazing in a field and remaining

15

are drinking water on the bank of a river. Find the total number of deer.

Q. Out of group of swans, 7/2 times the square root of the total number are playing on the shore of a pond. The remaining two are swimming in water. Find the total number of swans.

Q. Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.

Join BYJU'S Learning Program

Out of a herd of camel, 72 times the square root of the total are grazing in the field and the remaining two are sitting in the field. Find the total number of camels.

Suppose there are total number of Camels =X272√X2+2=X,2X2−7X−4=02X2−(8−1)X−4=02X2−8X+X−4=02X(X−4)+1(X−4)=0(2X+1)(X−4)=0Since (2X+1)=0 gives the negative value that is not considerable.(X−4)=0 or X=4.Hence, there are total number of Camels =X2=42=16

Out of a herd of camel, $\frac{7}{2}$ times the square root of the total are grazing in the field and the remaining two are sitting in the field. Find the total number of camels.