Example GIF

Duck Rabit Dog Weight-Math riddle

66.Math Riddles
Given that the weight of a Rabbit and a Duck is 10 kilograms, the weight of a Dog and a Rabbit is 20 kilograms, and the weight of a Dog and a Duck is 24 kilograms, what is the total weight of a Dog, a Rabbit, and a Duck?
Dog_Cat,_Rabit_Weight_Photo_Math_Riddle_67-math-riddles
  • A.25
  • B.35
  • C.27
  • D.40
    • Explanation :  
      
      Let the duck be ‘Du’
      
      The dog be ‘Do’
      
      The rabbit be ‘R’.
      
      From the above picture,
      
      we can form equations as,
      
      R + Du = 10kg.…equation (1)
      
      R + Do = 20kg….equation (2)
      
      Do + Du = 24kg…equation (3)
      
      & R + Do + Du = ?
      
      Rearranging the equations,
      
      equation (1) = R + Du = 10kg
      
      Du = 10kg – R
      
      equation (2) = R + Do = 20kg
      
      Do = 20kg – R
      
      Putting the values of Do & Du in equation (3),
      
      Do + Du = 24kg
      
      20kg – R + 10kg – R = 24kg
      
      30kg – 2R = 24kg
      
      2R = 6
      
      Rabbit, R = 3kg
      
      Substituting the value of R, in equation (1) & equation (2)
      
      We get,
      
      equation (1), R + Du = 10kg
      
      3 + Du = 10kg
      
      Duck, Du = 7kg
      
      Also, equation(2), R + Do = 20kg
      
      3 + Do = 20kg
      
      Dog, Do = 17kg.
      
      Adding the values of,
      
      Do + Du + R = 3 + 7 + 17
      
      Dog + Duck + Rabbit = 27kg.