SOLUTION: Two girls have a total age of 16. ONE GIRL IS 2YEARS OLDER THAN THE OTHER. what is the algebraic expression for each of them?.

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Question 1149644: Two girls have a total age of 16. ONE GIRL IS 2YEARS OLDER THAN THE OTHER. what is the algebraic expression for each of them?.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, younger girl
16-x, older girl

16-x-x=2
16-2x=2
8-x=1
x=7



ALTERNATIVE
x, younger
M, older
system%28x%2BM=16%2CM-x=2%29

highlight_green%28x=16-M%29
-
highlight_green%28M=x%2B2%29

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Algebraic expressions are


    Older age = sum_of_ages%2F2 + difference_of_ages%2F2 = 16%2F2 + 2%2F2 = 8 + 1 = 9  years,


    Younger age = sum_of_ages%2F2 - difference_of_ages%2F2 = 16%2F2 - 2%2F2 = 8 - 1 = 7  years.