Section-C 11. 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 were seen on the bank of a river. Find the total number of camels.
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Answer:
Let the total number of camels be x. Then,
Number of camels seen in the forest =
4
x
Number of camels gone to mountains =2
x
Number of camels on the bank of river =15
Total number of camels =
4
x
+2
x
+15
By hypothesis we have
=
4
x
+2
x
+15=x
⇒3x−8
x
−60=0⇒3y
2
−8y−60=0(x=y
2
)⇒3y
2
−18y+10y−60=0
⇒(3y+10)(y−6)=0⇒y=6ory=−
3
10
Now y=−
3
10
⇒x=(−
3
10
)
2
=
9
100
But the number of camels cannot be a fraction
∴y=6⇒x=6
2
=36 (∵x=y
2
)
Hence, the number of camels =36
Step-by-step explanation:
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