Answer:
Explanation:
You want the numbers of dogs of each gender in a shelter that houses 36 dogs, with 8 more males than females.
Sum and difference
The relations between the numbers can be summarized in the equations ...
m + f = 36
m - f = 8
Adding these two equations gives ...
2m = 44
m = 22
Subtracting the second equation from the first gives ...
2f = 28
f = 14
The numbers of dogs are ...
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Additional comment
This solution method is generic for any "sum and difference" problem. The larger number is half the sum of the given sum and difference; the smaller number is half their difference.