Roger920 Roger920

12-06-2015
Mathematics

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The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6

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konrad509 konrad509

12-06-2015

[tex]\dfrac{x}{y}=\dfrac{5}{3}\\ x+y=16\\\\ \dfrac{x}{y}=\dfrac{5}{3}\\ x=16-y\\\\ \dfrac{16-y}{y}=\dfrac{5}{3}\\ 5y=3(16-y)\\ 5y=48-3y\\ 8y=48\\ y=6\\\\ x=16-6\\ x=10 [/tex]

10 and 6

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