document.write( "Question 1019638: Jim is 9 years old. He is older than his sister by 6 years. How many years' time would Jim be twice as old as his sister \n" ); document.write( "

Algebra.Com's Answer #635658 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let j = Jim's present age
\n" ); document.write( "let s = sister's
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( " Jim is 9 years old.
\n" ); document.write( "j = 9
\n" ); document.write( " He is older than his sister by 6 years.
\n" ); document.write( "j = s + 6
\n" ); document.write( "replace j with 9, from the first statement
\n" ); document.write( "9 = s + 6
\n" ); document.write( "s = 9 - 6
\n" ); document.write( "s = 3 yrs is the sister's age
\n" ); document.write( ":
\n" ); document.write( " How many years' time would Jim be twice as old as his sister
\n" ); document.write( "let y = no. of years for this to be true
\n" ); document.write( "then
\n" ); document.write( "j + y = 2(s + y)
\n" ); document.write( "j + y = 2s + 2y
\n" ); document.write( "j = 2s + 2y - y
\n" ); document.write( "j = 2s + y
\n" ); document.write( "replace j with 9, replace s with 3
\n" ); document.write( "9 = 2(3) + y
\n" ); document.write( "9 = 6 + y
\n" ); document.write( "9 - 6 = y
\n" ); document.write( "y = 3 yrs time, Jim will be twice as old as his sister
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out in the statement
\n" ); document.write( "\" In 3 years' time would Jim be twice as old as his sister
\n" ); document.write( "9 + 3 = 2(3 + 3)
\n" ); document.write( "12 = 2(6)
\n" ); document.write( " \n" ); document.write( "

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