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 2 of 7.
Shri said:
1 decade ago
How to solve x+y = 48?
x+y = 70, to get x = 26 and y=22. Please tell.
x+y = 70, to get x = 26 and y=22. Please tell.
Sravani said:
1 decade ago
@Shri.
You have mistaken X+Y = 48.....1.
X+2Y = 70.2.
Subtract 1 from 2.
We get Y = 22.
By substituting we get X value 26.
You have mistaken X+Y = 48.....1.
X+2Y = 70.2.
Subtract 1 from 2.
We get Y = 22.
By substituting we get X value 26.
Pardeshi said:
1 decade ago
Can anybody explain, how came the value of x and y?
SIREESHA said:
1 decade ago
Any simple shortcut for this type of problems. Please give it.
Laxmi said:
10 years ago
Please tell me clearly how came 2x and 4y?
Sheeraz said:
10 years ago
Please use common sense here not maths.
It can be like 48 cows he has it meas 48 cows and there 4 legs.
So multiply this 48*4 = 192.
In this question there is 140 legs.
So, 192-140 = 52.
Hens has 2 legs.
So 52/2 = 26.
It can be like 48 cows he has it meas 48 cows and there 4 legs.
So multiply this 48*4 = 192.
In this question there is 140 legs.
So, 192-140 = 52.
Hens has 2 legs.
So 52/2 = 26.
Goverdhan said:
10 years ago
Hens have one head x and the cow has one leg y, then total heads are,
x + y = 48.
Hens have two legs 2x and the cow has four legs 4y, then total legs are,
2x + 4y = 140.
Solve both,
=> 2x + 2y = 96.
=> 2x + 4y = 140 then 2y = 44.
=> y = 22
=> x = 26
x is the number of hens, x = 26.
x + y = 48.
Hens have two legs 2x and the cow has four legs 4y, then total legs are,
2x + 4y = 140.
Solve both,
=> 2x + 2y = 96.
=> 2x + 4y = 140 then 2y = 44.
=> y = 22
=> x = 26
x is the number of hens, x = 26.
Franci said:
10 years ago
Super, thanks for your explanation.
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.
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.
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