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Mr. dean has an even number of cats and an odd number of dogs. show how many dogs and cats he might have. he has 6 cats and blank dogs. how many dogs?

Respuesta :

1 dog 6 cats
3 dogs 6 cats
5 dogs 6 cats 
7 dogs 6 cats 
9 dogs 6 cats
11 dogs 6 cats
13 dogs 6 cats
15 dogs 6 cats
17 dogs 6 cats
19 dogs 6 cats 
21 dogs 6 cats 
23 dogs 6 cats 
any further and the guy is probally crazy

Answer:

Question 1 :

Since, number of cats = an even number,

Also, the number of dogs = an odd number,

That is,

Number of cats = 2n ( Where, n ∈ N, because number of animal can not a decimal or irrational number ),

Number of dogs = 2w + 1, where w is a whole number,

Hence,

Possible number of cats and dog are,

( 2, 1 ), ( 6, 7), (8, 9), (12, 13),,.....etc..

Question 2 :

If Number of cats = 6

So, the possible number of dogs,

1, 3, 5, 7........

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