Devaughn is 9 years younger than Sydney. The sum of their ages is 83 . What is Sydney's age?

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05-02-2022
Mathematics

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Devaughn is 9 years younger than Sydney. The sum of their ages is 83 . What is Sydney's age?

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Tala646idn Tala646idn · Answer 1 · 2022-02-05T17:20:07-05:00

Tala646idn Tala646idn

05-02-2022

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

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