Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 13)

Simplification

13.

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

Answer: Option

Explanation:

Let the number of hens be x and the number of cows be y.

Then, x + y = 48 .... (i)

and 2x + 4y = 140 x + 2y = 70 .... (ii)

Solving (i) and (ii) we get: x = 26, y = 22.

The required answer = 26.

Discussion:

67 comments Page 3 of 7.

Pradyumn yadav said: 6 years ago

No of feet of hens = 48 * 2 = 96,
So no cows legs = 140-96 = 44
No of cows = 44/2 = 22,
No of hens = 48-22 = 26.

Nik said: 3 years ago

Formula=2H - L/2.

where,
H=Number of heads.
L=Number of Legs.
Hence,
= 2(48) - 140/2,
= 96 - 70,
= 26.

(5)

Deepi said: 1 decade ago

Hens have 2 legs and cows have 4 legs. So in-order to calculate number of hens and cows take as 2x+4y.

S raviteja said: 3 years ago

Let no of hens be x and no of cows be y.

For heads the equation is x + y = 260 (head count is 100).

(2)

AJAY said: 9 years ago

L/2.
140/2 = 70
70 - 48 = 22=> THIS IS NUMBER OF COWS.
AND 48 - 22 = 26 =>THIS IS NUMBER OF HENS.

Harikrishna Chaudhary said: 3 years ago

48*2=96 legs
2legs hens and 2 legs cow.
Remaining legs 44/2 = 22 cows.
Hens = 48 -22 = 26.

(4)

Sandip said: 1 decade ago

Why they are taking 2x+4y = 140, and the equation remains that x+2y = 70? Kindly simplify.

Shubham yadav said: 7 years ago

2 legs of formula= 2H - L/2.
Solve = 2 * 48 - 140/2
= 96 - 70
= 26.

Jony said: 8 years ago

140/4=35 cow head.
48-35=13 hens head.
13*2=26 two legs of hens.
Here is 26 shortcut.

Prasad Mandati said: 8 years ago

Number of Cows = (Feet/2) -- Heads.

Number of Hens = Total heads --Number of Cows.

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