out of a herd of camels one sixth went to the river bank, one third sat 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.
Answers
Answered by
13
let the total no of camels be x
x - ( 1/6x + 1/3x + 1/4x ) = 9
x - ( 2x + 4x+ 3x/12) = 9
x - 9/12x =9
12x - 9x /12 = 9
3/12x = 9
x = 9*12/3
x = 36
x - ( 1/6x + 1/3x + 1/4x ) = 9
x - ( 2x + 4x+ 3x/12) = 9
x - 9/12x =9
12x - 9x /12 = 9
3/12x = 9
x = 9*12/3
x = 36
PiyushRaj1:
thanks
Answered by
35
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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