In a poultry farm having hens and pigs, Rohan can see 84 heads and 282 legs. How many hens are there?
Answer & explanation
Correct answer: option 1
As, the poultry farms have hens and pigs, and, these have 1 head each so the equation formed will be as follows:
H + P = 84 -------1st equation
As, hens have 2 legs and pigs have 4, the equation formed will be as follows:
2H + 4P = 282 --------2nd equation
Solving the 2 equations:
H + P = 84
Multiplying the above equation with 2
2H + 2P = 168 --------(A)
2H + 4P = 282 --------(B)
Subtracting (A) from (B)
2H + 4P - 2H - 2P = 282 -168
2P = 114
P = 57
H + P = 84
57 + H = 84
H = 27
Thus, 27 hens were there.