Duck Rabit Dog Weight-Math riddle
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?
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.