Out of a herd camels one-sixth went to the river's bank one-third sat at a place for rest and one fourth of them were busy in eating leaves. If there were still 9 camels left in the herd find the total number of camels.
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Out of a herd camels one-sixth went to the river's bank one-third sat at a place for rest and one fourth of them were busy in eating leaves. If there were still 9 camels left in the herd find the total number of camels.
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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.
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