document.write( "Question 1022627: Jack is currently 6 times as old as Rose. Five years later, Jack will be thrice as old as Rose. How old are they at present? \n" ); document.write( "

Algebra.Com's Answer #638285 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let j = Jack's present age
\n" ); document.write( "let r = Rose's
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( " Jack is currently 6 times as old as Rose.
\n" ); document.write( "j = 6r
\n" ); document.write( " Five years later, Jack will be thrice as old as Rose.
\n" ); document.write( "j + 5 = 3(r + 5)
\n" ); document.write( "j + 5 = 3r + 15
\n" ); document.write( "j = 3r + 15 - 5
\n" ); document.write( "j = 3r + 10
\n" ); document.write( "Replace j with 6r (from the 1st statement)
\n" ); document.write( "6r = 3r + 10
\n" ); document.write( "6r - 3r = 10
\n" ); document.write( "3r = 10
\n" ); document.write( "r = 10/3
\n" ); document.write( "r = 3 $\"1%2F3\"$ yrs old is Rose
\n" ); document.write( "then
\n" ); document.write( "6(3.333) = 20 yrs is Jack's age\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Usually these age problems have integer solutions, maybe there is mistake as this problem is written. \n" ); document.write( "

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