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 5 of 7.
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.
S pal said:
8 years ago
4 * 48-140/2 = 26.
Geetha said:
8 years ago
Thank you so much for the given answers with the explanation.
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.
Preethika said:
9 years ago
Explain the step 2 of the solution.
Zuheb said:
9 years ago
@Gaurav, Thanks for simplifying it.
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.
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.
140/2 = 70
70 - 48 = 22=> THIS IS NUMBER OF COWS.
AND 48 - 22 = 26 =>THIS IS NUMBER OF HENS.
Gaurav said:
9 years ago
Here we can see all have 2 legs.
So 48 * 2 = 96 have 2 legs, now 140 - 96 = 44 legs still remaining that means some of those we have counted previously have 2 more legs.
So, 44/2 = 22 have 4 legs and see that rest 48 - 22 = 26 have 2 legs only.
So 48 * 2 = 96 have 2 legs, now 140 - 96 = 44 legs still remaining that means some of those we have counted previously have 2 more legs.
So, 44/2 = 22 have 4 legs and see that rest 48 - 22 = 26 have 2 legs only.
Franci said:
9 years ago
Super, thanks for your explanation.
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