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50 heads 184 legs speak how many rabbit and duck

Posted by Pranav Malik 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Payal Singh 8 years, 7 months ago

Let number of rabbit = x

Number of duck = y

x rabbits have heads = x

y ducks have heads = y

Total head = x+y

According to question,

x + y = 50 ....(1)

x rabbits have legs =4x

y ducks have legs = 2y

According to question,

4x+2y = 184

=> 2x+y = 92 .....(2)

Subtract (1) from (2) we get

x = 42

So y = 8

Number or rabbits = 42

Number of ducks = 8

3Thank You

ANSWER

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CBSE > Class 09 > Mathematics