MathematicsOne-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels where seen on the bank of a river. Find the total number of camels.

One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels where seen on the bank of a river. Find the total number of camels.


  1. A
    36
  2. B
    25
  3. C
    27
  4. D
    35 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    It is given that one-fourth of a herd of camels was seen in the forest and Twice the square root of the herd had gone to mountains and the remaining 15 camels where seen on the bank of a river.
    Assume the total number of camels are x.
    Therefore, number of camels in the forest =x4 .
    Number of camels gone to the mountain =2x.
    Number of camels on the bank of river =15.
    Since a total number of camels are x so,
    ⇒ x4+2x+15=x
    Taking LCM and cross multiplying, we get,
    ⇒x+8x+604=x
    ⇒x+8x+60=4x
    ⇒3x-8x-60=0
    ⇒3x2-8x-60=0
    Above equation is quadratic equation in x so simplifying above equation using middle term splitting, we get,
    ⇒3x2-18x+10x-60=0
    ⇒3xx-6+10x-6=0
    ⇒3x+10x-6=0 Equating 3x+10=0,we get,
    ⇒3x=-10
    ⇒x=-103
    ⇒x=1009
    x=1009 cannot be a possible value for the number of camels.
    Equating x-6=0, we get
    ⇒x=6
    ⇒ x=36.
    So, the total number of camels is 36.
    Therefore, option 1 is  correct.
     
    Chat on WhatsApp Call Infinity Learn