please solve the above problem with steps
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Let the number of rabbits be x and hens be y.
Given that total number of rabbits and hens are 25.
= > x + y = 25 ---- (1)
Given that total number of their legs is 80.
= > 2x + 4y = 80 ----- (2)
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On solving (1) * 2 & (2), we get
= > 2x + 2y = 50
= > 2x + 4y = 80
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-2y = -30
y = 15.
substitute y = 15 in (1), we get
= > x + y = 25
= > x + 15 = 25
= > x = 10.
Therefore, the numbers of rabbits = 10.
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