Dileep has some hens and some goats. If the total number of animal heads is 33 and the total number of animal feet is 82, how many goats does Dileep have?
Dileep has some hens and some goats. If the total number of animal heads is 33 and the total number of animal feet is 82, how many goats does Dileep have?
दिलीप के पास कुछ मुर्गियाँ और कुछ बकरियाँ हैं। यदि जानवरों के सिरों की कुल संख्या 33 है और उनके पैरों की कुल संख्या 82 है, तो दिलीप के पास कितनी बकरियाँ हैं?
Detailed Solution & Logic
Correct Answer:
8
Let the number of hens = $x$
Let the number of goats = $y$
From heads:
Each animal has one head.
$x + y = 33$ …… (1)
From feet:
Hens have 2 feet and goats have 4 feet.
$2x + 4y = 82$ …… (2)
Divide equation (2) by 2:
$x + 2y = 41$ …… (3)
Now subtract (1) from (3):
$(x + 2y) - (x + y) = 41 - 33$
$y = 8$
✅ Number of goats = 8
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