Find the individual weight of goat, hen & pig?

Let the weight of hen be 'x'
& the weight of goat be 'y'
& the weight of pig be 'z'

We have,
x + y = 14  ...(i)
x + z = 44  ...(ii)
y + z = 50  ...(iii)
x + y + z = ?

Now,
x + y = 14
x = 14 - y

Put the value of 'x' in eq.(ii)
x + z = 44
14 - y + z = 44
z = 30 + y

Put the value of 'z' in eq.(iii)
y + z = 50
y + 30 + y = 50
2y = 20
y = 10

Put the value of 'y' in eq.(i)
x + y = 14
x + 10 = 14
x = 4

Put the value of 'x' in eq.(ii)
x + z = 44
4 + z = 44
z = 40

Therefore, x + y + z = 4 + 10 + 40
                                = 54.   Ans.
 

  • 116
29
 
  • -46
54
  • 21
54
  • 11
54
  • 1
Goat 10, hen 4, pig40
  • 12
54
  • 41
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