In a park there are rabbits and pigeons in the ratio 4 : 9.

In a park there are rabbits and pigeons in the ratio 4 : 9. If legs are counted, the total number of legs is 340. Find the number of rabbits.
एक पार्क में खरगोश और कबूतर 4 : 9 के अनुपात में हैं यदि पैरों की गिनती की जाए, तो पैरो की कुल संख्या 340 हैं। खरगोशों की संख्या ज्ञात कीजिए।

40 70 30 20

Detailed Solution & Logic

Correct Answer:

40

Ratio of rabbits : pigeons = 4 : 9
Let rabbits = $ 4x $ ,pigeons = $ 9x $
Rabbits have 4 legs, pigeons have 2 legs.
Total legs:
$4(4x) + 2(9x) = 340$
$16x + 18x = 340$
$34x = 340$
$x = 10$
Number of rabbits:
$4x = 4 \times 10 = 40$
Answer = 40

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