slayysnowflake slayysnowflake

10-01-2017
Mathematics

Answered

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 ?

Verified Answer :

Apocrophon Apocrophon

10-01-2017

\(A = 2a + 5 \\
A - a = 12\)

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

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

So A = 19 and a = 7

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