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  1. Krishna has some hens and some goats. If the total number of animal heads are 81 and the total number of animal legs are 234. How many goats does Krishna have ?
    1. 45
    2. 24
    3. 36
    4. can be determined
Correct Option: C

Let us assume the number of Hens are H and Number of Goats are G.
According to question,
The total number of animal heads are 81. Since one animal has one head.
Number of head of animals = Number of total animals
H + G = 81..........................(1)
The total number of animal legs are 234. Since hen's have 2 legs and goat's have 4 legs.
2H + 4G = 234...................(2)
Multiply 2 with equation (1) and subtract from equation (2), we will get.
⇒ 2H + 4G - 2 x (H + G ) = 234 - 2 x 81
⇒ 2H + 4G - 2H - 2G = 234 - 162
⇒ 2G = 72
⇒ G = 36
Put the value of G in equation (1), we will get.
H + 36 = 81
H = 81 - 36
H = 45
Krishna have number of goats = G = 36



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