Question

11. Three ducks and two ducklings weigh 32 kg.

Four ducks and three ducklings weigh 44 kg. All

ducks weigh the same and all ducklings weigh

the same. What is the weight of two ducks and

one duckling?

(A) 20 kg (B) 40 kg

(C) 60 kg (D) 64 kg​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The weight is 20kgs.

Given:

Weight of three ducks and two ducklings = 32kg

Weight of four ducks and three ducklings = 44kg

To find:

Weight of two ducks and one duckling?

Solution:

Let the weight of Duck be = D

Let the weight of Duckling be = d

Therefore, as per the question -

3D + 2d = 32 -- eq 1

4D + 3d = 44 -- eq2

Multiplying eq 1 by 3 and Multiplying eq 2 by 2

Therefore -

9D + 6d = 96

8D + 6d = 88

D = 8

Substituting the value in eq 1

= 3(8) + 2d = 32

24 + 2d = 32

2d = 8

d = 4

Thus,

2 ( 8 ) + 1 ( 4)

= 16 + 4

= 20

Answer: The weight is 20kgs.

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