document.write( "Question 892922: Alfred is three times as old as his brother.Six years ago, the sum of their ages was equal to alfreds present age.How old are alfred and his brother. \n" ); document.write( "

Algebra.Com's Answer #540989 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
let a = A's age
\n" ); document.write( "let b = brother's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement.
\n" ); document.write( ":
\n" ); document.write( "\"Alfred is three times as old as his brother.\"
\n" ); document.write( "a = 3b
\n" ); document.write( ":
\n" ); document.write( "\"Six years ago, the sum of their ages was equal to Alfred's present age.\"
\n" ); document.write( "(a-6)+(b-6) = a
\n" ); document.write( "a + b - 12 = a
\n" ); document.write( "a - a + b = 12
\n" ); document.write( "b = 12 yrs is brothers age
\n" ); document.write( "then
\n" ); document.write( "3(12) = 36 is A's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works in the 2nd sentence
\n" ); document.write( "6 yrs ago, their ages:
\n" ); document.write( "30 + 6 = 36\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );