The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. What are the two numbers ?

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10-01-2017
Mathematics

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The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. What are the two numbers ?

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Apocrophon Apocrophon · Answer 1 · 2017-01-10T06:38:58+01:00

Apocrophon Apocrophon

10-01-2017

[tex] A = 2a + 5 \\
A - a = 12 [/tex]

Plug the first equation into the second;
[tex] (2a+5) - a=12\\
2a-a+5=12\\
a+5=12\\
a=7[/tex]

Plug a into one of the equations;
[tex] A-a=12\\
A-(7)=12\\
A=19 [/tex]

So A = 19 and a = 7

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