[17] Ajith was driving down the country side when he saw a farmer tending his pigs and ducks in his yard.

For Competitive Exams

Ajith was driving down the country side when he saw a farmer tending his pigs and ducks in his yard. Ajith asked the farmer how many of each he had. The farmer replied that there were 60 eyes and 86 feet between them. How many ducks and how many pigs were there ?

Explanation:
Let the no of ducks be x and no of pigs be y.
Then,since there are 60 eyes in total and both ducks and pigs have 2 eyes we have 2x + 2y = 60 - - - (1)
And total number of legs are 86, ducks have 2 legs while a pig has four so 2x + 4y = 86 - - - (2)
Subtracting (1) from (2) ,we get
2y = 26. ie. y = 13
Putting value in - - - (1),
We get x = 17

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