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Answer :

D:devaughn
S:sydney

D+S=83. First equation
D=S-9. Second equation
D-S=-9

Add 2 equations

D+S+D-S=83-9
2D=74
D=37

Devaughn is 37 years old
So

D+S=83
37+S=83
S=46

Sydney is 46 years old