Question

Three ducks and two ducklings with 32 kg. four ducks and three ducklings weight 44 kg .all ducks weight with the same and all ducklings weight the same. what is the weight of two ducks and one ducklings?

Answer 1

Answer:

Weight of the Duck is 8kg and weight of the Duckling is 4kg.

Explaination:

Let weight of a duck be x

Let weight of a duckling be y

Given,

3x + 2y = 32 ......... (1)

4x + 3y = 44 ......... (2)

Multiplying (1) by 3

9x + 6y = 96 .......... (3)

Multiplying (2) by 2

8x + 6y = 88 .......... (4)

Subtracting (4) from (3)

x = 8kg

In (1)

24 + 2y = 32

2y = 8

y = 4kg