document.write( "Question 901064: Conner is 30 years younger than Noelle. 6 years ago, Noelle's age was 3 times Conner's age. How old is Conner now? \n" ); document.write( "

Algebra.Com's Answer #546440 by JulietG(1812) $\"\"$ $\"About$

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C = N-30
\n" ); document.write( "N-6 = 3(C-6)
\n" ); document.write( "Distribute
\n" ); document.write( "N-6 = 3C-18
\n" ); document.write( "Add 6 to each side
\n" ); document.write( "N = 3C - 12
\n" ); document.write( "Substitute the value of C from the top equation into the bottom
\n" ); document.write( "N = 3(N-30)-12
\n" ); document.write( "Distribute
\n" ); document.write( "N = 3N - 90 - 12
\n" ); document.write( "N = 3N - 102
\n" ); document.write( "Add 102 to each side
\n" ); document.write( "N + 102 = 3N
\n" ); document.write( "Subtract N from each side
\n" ); document.write( "102 = 2N
\n" ); document.write( "Divide each side by 2
\n" ); document.write( "51 = N
\n" ); document.write( "If Noelle is 51, then Conner is 30 less than that, or 21

\n" ); document.write( "Prove: 6 years ago, Noelle's age was 3 times Conner's age
\n" ); document.write( "6 years ago, Noelle was 51-6, or 45.
\n" ); document.write( "6 years ago, Conner was 21-6, or 15.
\n" ); document.write( "45 is 3x 15.
\n" ); document.write( "Conner is currently 21, and Noelle is currently 51. \n" ); document.write( "

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