Question

A farmer some chicken and goat, both animal together so its make 90 head 224 legs now tell me how many chicken and how many goat.​

Answer 1

Answer:

Given:

Total heads = 43

Total legs = 108

Let the number of goats be x

Let the number of hens be y

We know there is only 1 man, hence 1 head and 2 legs can be eliminated from total

Total sum of (hen+Goat) heads = 42

Total sum of (hen+Goat) legs = 106

We know hen has 2 legs and goat has 4.

Making equation out of this, we get

x+y=42

4x+2y=106

Solving simultaneous equations

2x+2y=84 (multiplying 2 throughout the equation to make calculation simpler)

4x+2y=106

2x=(106–84)=22

x=11

x+y=42 ; 11+y=42 ;

y=31

Hence farmer has 11 goats and 31 hens

Cross check??

11 goats = 44 legs ; 31 hens = 62legs; 1 farmer = 2legs === (44+62+2)=108

11 goats = 11heads ; 31hens = 31 heads; 1 farmer= 1 head == (11+31+1) = 43

Step-by-step explanation:

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