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 6 of 7.
Goverdhan said:
9 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.
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.
Laxmi said:
10 years ago
Please tell me clearly how came 2x and 4y?
SIREESHA said:
10 years ago
Any simple shortcut for this type of problems. Please give it.
Pardeshi said:
1 decade ago
Can anybody explain, how came the value of x and y?
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.
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.
Prasad said:
1 decade ago
Case 1:
The number of heads = 48;
He has some hens (let hens as x) and cows (let cows as y) so each has head.
So we can take it as x+y = 48.
Case 2:
The number of feet equals to 140.
Hen has 2 legs and cows has 4 legs so 140 we can write as,
2x+4y = 140.
By solving this we will get result as x = 26; y = 22.
The number of heads = 48;
He has some hens (let hens as x) and cows (let cows as y) so each has head.
So we can take it as x+y = 48.
Case 2:
The number of feet equals to 140.
Hen has 2 legs and cows has 4 legs so 140 we can write as,
2x+4y = 140.
By solving this we will get result as x = 26; y = 22.
Sandip said:
1 decade ago
Why they are taking 2x+4y = 140, and the equation remains that x+2y = 70? Kindly simplify.
HRISHIKESH PAWAR said:
1 decade ago
How to simplify 2x+4y = 140?
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