BA LLB Banaras Hindu University 2016 Solved Paper

Question : 111 of 170

Marks: +1, -0

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

Solution:

Let the number of hens is

y

and cow's is

x

. According to question
According to question

4 x+2 y \;\; =(x+y) × 2+14

4 x+2 y \;\; =2 x+2 y+14

2 x \;\; =14 ⇒ x=7

Hence, the numbers of cows are 7 .
Shortcut Method

l=h × 2+14

Cow

=\;{1-2 h}/{2}

=\;{2 h+14-2 h}/{2}

[Here, l = Leg;h = Head ]

=\;{14}/{2}=7

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