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One-forth of a herd of a …

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

  • 1 answers

Naveen Sharma 7 years, 1 month ago

Ans. Let total number of camel = x2

Nunber of camel seen in the forest = {tex}x^2\over 4{/tex}

Number of camel gone to mountain = {tex}2\sqrt {x^2} = 2x {/tex}

Number of camel seen on  river bank = 15

According To Question,

{tex}=>{ x^2\over 4 } + 2x + 15 = x^2{/tex}

{tex}=> x^2 + 8x + 60 = 4x^2{/tex}

{tex}=> 3x^2 -8x -60= 0{/tex}

=> 3x2 - 18x + 10x - 60 = 0

=> 3x(x-6) +10(x-6) =0

=> (x-6)(3x+10) = 0

=> x = 6, -10/3

x cannot be -ve.

So number of camel = 62 = 36

 

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