Problema Solution

heathers sister is four less than twice her age.the sum of their ages is 32. how old is each sister.

Answer provided by our tutors

let


h = the age of Heather


s = the age of Heather's sister


Heather's sister is four less than twice her age:


s = 2h - 4


the sum of their ages is 32:


h + s = 32


by solving the system of equations:


s = 2h - 4


h + s = 32


we find:


h = 12 years


s = 20 years


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Heather's sister is 20 years old.