Question

42. One – fourth of a herd of camels was seen in the forest. Twice the
square root of the herd had gone to mountain and the remaining 15 camels
were bank of a river. Find the total number of camels.​

Answer 1

Total number of camels is 36

Step-by-step explanation:

Let the total number of camels is X

• One-fourth of the herd was seen in the forest

i.e., X/4 camels

• Twice the square root of the herd had gone to mountain

i.e., 2√X camels

• Remaining camels = 15

Then,

X/4 + 2√X + 15 = X

or, 2√X = X - X/4 - 15

or, 2√X = 3X/4 - 15

or, 4X = 9X²/16 - 90X/4 + 225

or, 9X² - 360X + 3600 = 64X

or, 9X² - 424X + 3600 = 0

or, (9X - 100) (X - 36) = 0

Since X cannot be a fraction, then X = 36

∴ the total number of camels is 36

Answer 2

Answer:

36 .

Step-by-step explanation:

Let the total number of camel be x .

No. of camel seen in forest = x / 4

No. of camel gone to mountains = 2 √ x

No. of camel seen on bank of river = 15

Total no. of camel .

x / 4 + 2 √ x + 15

x = x / 4 + 2 √ x + 15

3 x - 60 = 8 √ x

Squaring on both sides:

64 x = 9 x² - 360 x + 3600

9 x² - 424 x + 3600 = 0

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

x = 36 or x = 100 / 9

Since camels cannot be in fraction .

Hence final answer i.e. total numbers of camels are 36.