Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 13)
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.
Pawan thapar said:
9 years ago
Hens:
48 * 2
Cows:
48 * 4
By using allegation & mixture rule,
The number of hens is 26 and number of cows is 22.
48 * 2
Cows:
48 * 4
By using allegation & mixture rule,
The number of hens is 26 and number of cows is 22.
Zuheb said:
9 years ago
@Gaurav, Thanks for simplifying it.
Preethika said:
9 years ago
Explain the step 2 of the solution.
SRAVANTHI said:
9 years ago
x = hens and y = cows.
Total heads (hens and cows) x+y=48.........(1)
Total legs = 140
So hens have 2 legs and also cow has 4 legs===2x+4y=140..........(2)
Equation 1 and 2 simplifying
x + y = 4.
2x+4y = 140 here equation (1) is multiply by 2.
So 2x+2y = 96
x + y = 70
x = 26 and y = 22.
Total heads (hens and cows) x+y=48.........(1)
Total legs = 140
So hens have 2 legs and also cow has 4 legs===2x+4y=140..........(2)
Equation 1 and 2 simplifying
x + y = 4.
2x+4y = 140 here equation (1) is multiply by 2.
So 2x+2y = 96
x + y = 70
x = 26 and y = 22.
Geetha said:
8 years ago
Thank you so much for the given answers with the explanation.
S pal said:
8 years ago
4 * 48-140/2 = 26.
Geet said:
8 years ago
Cows = L-2H/2.
=140-2*48/2 =44/2 =22,
Hens =48-22=26.
=140-2*48/2 =44/2 =22,
Hens =48-22=26.
Neha said:
8 years ago
Can anyone please tell me how this 140 is coming? I am confused.
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.
48-35=13 hens head.
13*2=26 two legs of hens.
Here is 26 shortcut.
Pradeep said:
8 years ago
140\2.
=70-48=22, cows=22,
Total head=48-22=26.
=70-48=22, cows=22,
Total head=48-22=26.
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