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Question:
at a certain deer park the number of heads and the number of legs of deer and human visitors were counted and it was found there were 39 heads and 132 legs.Find the number of deer and human visitors
Answer:

Let the number of deer in the park is x and human visitors is y

Since each deer and each human has one head and given total heads are 39

=> x + y = 39  .................1

Again each deer has 4 legs and each human has 2 legs and total legs are 132

=> 4x + 2y = 132

=> 2x + y = 66   ................2                 {divide by 2 on both side}

Subtracting equation 1 from 2, we get

     2x - x = 66 - 39

=> x = 27

Put x = 27 in equation 1, we get

     27 + y = 39

=> y = 39 - 27

=> y = 12

Hence, there are 27 deer and 12 human visitors in the park.

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