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Q.

Choose the correct option:


In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is:
 


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a

5

b

7

c

10

d

12

e

can't be determined 

answer is B.

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Detailed Solution

The correct answer is option 2.
Let the number of cows = x
Total number of legs of cows=2x
Let the number of hens = y
Total no. of legs of hens = 2y
Total number of legs=2x+2y
Total number of heads= x+y
Given: number of legs is 14 more than twice the number of heads
Total number of legs = 2(total number of heads) + 14
4x+2y=[2{x+y}+14]  
4x+2y=2x+2y+14 (4x−2x)+(2y−2y)=14 (4x−2x)=14 2x=14 x= 14 2 x=7  
 
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