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Question

There are deer and peacocks in a zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

20

30

50

60

None of these

ANSWER : 4

Descrption

<p><span style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; background - color: #ffffff;">Let x and y be the number of deer and peacocks in the zoo respectively. Then,</span><br style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; outline: none; box - sizing: border - box;" /><span style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; background - color: #ffffff;">x   +   y  =  80 ...(i) and</span><br style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; outline: none; box - sizing: border - box;" /><span style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; background - color: #ffffff;">4x   +   2y  =  200 or 2x   +   y  =  100 ...(ii)</span><br style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; outline: none; box - sizing: border - box;" /><span style = "font - family: 'Open Sans', Arial, sans - serif; font - size: 15.73px; background - color: #ffffff;">Solving (i) and (ii), we get) x  =  20, y  =  60.</span></p>

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