Camels

Level pending

One- fourth of a herd of a camel was seen in the forest. Twice the square root of the herd had gone to mountain and the remaining 15 camel were seen on the bank of the river .Find the total number of the Camels.

50 18 6 36

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1 solution

Harshit Singhania
Jun 27, 2015

Just check which of the options is a perfect square:-) or the proper method would be : x 4 + 2 x + 15 = x 2 x = x x 4 15 2 x = 3 x 60 4 4 x = 9 x 2 + 3600 360 x 16 64 x = 9 x 2 + 3600 360 x 9 x 2 424 x + 3600 = 0 x = 424 + 424 4 × 9 × 3600 18 x = 424 + 224 18 x = 11.111 \frac {x}{4} + 2\sqrt {x} + 15 = x 》》 2\sqrt {x} = x - \frac {x}{4} -15 》》 2\sqrt {x} = \frac {3x-60}{4} 》》 4x= \frac {9x^{2} + 3600 - 360x}{16} 》》 64x = 9x^{2} + 3600 - 360x 》》 9x^{2} - 424x + 3600 =0 》x = \frac { 424 +- \sqrt { 424 - 4×9×3600}}{18} 》》 x= \frac {424 +-224}{18} 》》 x = 11.111 Or x = 36 x = 36 rejecting the non - integral value, x is 36.

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