Aaron and Alice are bowling. Alice score is twice the difference of Aarons score and 5. The sum of there scores is 320. Find each students bowling score.

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asked Jul 18, 2019 51.6k views

3 votes

Aaron and Alice are bowling. Alice score is twice the difference of Aarons score and 5. The sum of there scores is 320. Find each students bowling score.

Mathematics
middle-school

Dmitry Ionash asked

by Dmitry Ionash

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1 Answer

5 votes

$Let \: x \: be \: Alice's \: score, \: y \: be \: Aaron's \: score. \: We \: have \: an \: equation: \\ x + y = 320 \\ 2(y - 5) + y = 320 \\ 3y = 330 \\ y = 110 \\ x = 320 - y = 320 - 110 = 210. \\ So \: Alice \: scores \: 210 \: points \: and \: Aaron \: scores \: 110 \: points.$

Reinout Van Rees answered Jul 22, 2019