There are only deers and ducks in a zoo.when the heads are counted, it is 204 n legs are 512.how many dears are in zoo.
A. 152
B. 176
C. 26
D. 52
Answer: Option D
Solution(By Examveda Team)
Let consider number of Dear as X and number of Duck as Y.Therefore4X +2y= 512, ---- (i) and
X + Y= 204, ----- (ii)
By Solving (i) and (ii)
X= 52 and Y = 152
So total number of dear is 52
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4×Dear +2×Duck= 512,
Dear+Duck=204,
Now, Duck= 204-Dear,
Now, 4×Dear+ 2×(204-Dear)=512,
4×dear+408-2×Dear=512,
Now 2×Dear=512-408= 104
So that Dear= 104/2= 52
So total dear= 52,
Option D = 52 is right