Find The Total Number of Buffaloes ?

In a groups of ducks and buffaloes, the total number of legs is 24 more than twice the number of heads. Find the total number of buffaloes ?

  1. 14
  2. 16
  3. 18
  4. 12
Anurag Mishra Professor Asked on 23rd September 2015 in Maths.
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1 Answer(s)

Answer:  (4) 12

Explanation:-
Let the number of ducks be X and the number of buffaloes be Y

The total number of legs is 24 more than twice of the number of heads.
Then, 4 Y + 2 X = 2 (X + Y) + 24
4Y + 2 X = 2 X + 2 Y + 24
4 Y – 2 Y + 2 X – 2 X = 24
2 Y = 24
Y =  24/2
Y = 12

Then, the number of buffaloes Y = 12.

Hence, the answer is (4) 12.

Anurag Mishra Professor Answered on 23rd September 2015.
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