document.write( "Question 1047610: three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find the present ages? \n" ); document.write( "

Algebra.Com's Answer #663144 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let t = Tom's present age
\n" ); document.write( "let j = Jean's
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement,simplify as much as possible
\n" ); document.write( ":
\n" ); document.write( " three years ago Tom was twice as old as Jean,
\n" ); document.write( "t-3 = 2(j-3)
\n" ); document.write( "t - 3 = 2j - 6
\n" ); document.write( "t = 2j - 6 + 3
\n" ); document.write( "t = 2j - 3
\n" ); document.write( " and in two years the sum of their ages will be 28 years.
\n" ); document.write( "(t+2) + (j+2) = 28
\n" ); document.write( "t + j + 4 = 28
\n" ); document.write( "t + j = 28 - 4
\n" ); document.write( "t + j = 24
\n" ); document.write( " Find the present ages?
\n" ); document.write( "replace t with (2j-3) from the 1st statement
\n" ); document.write( "2j - 3 + j = 24
\n" ); document.write( "2j + j = 24 + 3
\n" ); document.write( "3j = 27
\n" ); document.write( "j = 27/3
\n" ); document.write( "j = 9 yrs is Jean's age
\n" ); document.write( "Find Tom's age
\n" ); document.write( "t = 2(9) - 3
\n" ); document.write( "t = 15 yrs is Tom's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the first statement
\n" ); document.write( "\" three years ago Tom was twice as old as Jean, \"
\n" ); document.write( "15 - 3 = 2(9 - 3)
\n" ); document.write( "12 = 2(6) \n" ); document.write( "

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