SOLUTION: Devaughn is 13 years younger than Sydney. The sum of their ages is 75. What is Sydney's age?

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Question 1089540: Devaughn is 13 years younger than Sydney. The sum of their ages is 75. What is Sydney's age?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
You have two equations:

(1)   D = S - 13.
(2)   D + S = 75.


Substitute (1) into (2). You will get

(S-13) + S = 75  ====>  2S = 75 + 13 = 88  ====>  S = 88%2F2 = 44.


Answer. Sydney is 44 years old.