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Gaurav has some hens and some goats. If the total number of animal heads is 83 and total number of feet is 260 then what is the difference between number of goats & number of hens?
  • a)
    11 
  • b)
    13 
  • c)
    14 
  • d)
    17 
  • e)
    15
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Gaurav has some hens and some goats. If the total number of animal hea...
Let total number of goats be ‘x’ and that of hens be
‘y’
x + y = 83 ...(I)
4x + 2y = 260
2x + y = 130 ...(II)
equation (II) – equation (I)
2x + y = 130
x + y = 83
– – –
x = 47
y = 83 – 47 = 36
Difference = 47 – 36 = 11
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Most Upvoted Answer
Gaurav has some hens and some goats. If the total number of animal hea...
Let total number of goats be ‘x’ and that of hens be
‘y’
x + y = 83 ...(I)
4x + 2y = 260
2x + y = 130 ...(II)
equation (II) – equation (I)
2x + y = 130
x + y = 83
– – –
x = 47
y = 83 – 47 = 36
Difference = 47 – 36 = 11
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