asked 76.3k views
3 votes
Amy is 8 years older than Ben. The sum of their ages is 28. The system of equations representing their ages is ...Solve the system using inverses. Then select the correct calculation and the ages of Amy and Ben.

Amy is 8 years older than Ben. The sum of their ages is 28. The system of equations-example-1
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User Fsi
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1 Answer

3 votes

\begin{gathered} a-b=8 \\ a=b+8 \\ a+b=28 \\ b+8+b=28 \\ 2b+8=28 \\ 2b=20 \\ b=10 \end{gathered}

So Amy is 18 and Ben is 10.

answered
User Joseph McCarthy
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8.7k points
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