document.write( "Question 497237: 5 years ago Jane was 5 times as old as her son. 5 years hence her age will be 8 less than 3 times the corresponding age of her son.Find their ages \n" ); document.write( "
Algebra.Com's Answer #336819 by ankor@dixie-net.com(22740)\"\" \"About 
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let j = J's present age
\n" ); document.write( "Let s = son's present age
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\n" ); document.write( "Write an equation for each statement, simplify each equation:
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\n" ); document.write( "\"5 years ago Jane was 5 times as old as her son.\"
\n" ); document.write( "j - 5 = 5(s-5)
\n" ); document.write( "j - 5 = 5s - 25
\n" ); document.write( "j = 5s - 25 + 5
\n" ); document.write( "j = 5s - 20
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\n" ); document.write( "\"5 years hence her age will be 8 less than 3 times the corresponding age of her son.\"
\n" ); document.write( "j + 5 = 3(s+5) - 8
\n" ); document.write( "j + 5 = 3s + 15 - 8
\n" ); document.write( "j + 5 = 3s + 7
\n" ); document.write( "j = 3s + 7 - 5
\n" ); document.write( "j = 3s + 2
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\n" ); document.write( "From the 1st simplified equation, replace j with (5s-20) in the above eq
\n" ); document.write( "5s - 20 = 3s + 2
\n" ); document.write( "5s - 3s = 2 + 20
\n" ); document.write( "2s = 22
\n" ); document.write( "s = 22/2
\n" ); document.write( "s = 11 yrs is the son's present age
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\n" ); document.write( "Find J's age
\n" ); document.write( "j = 3(11) + 2
\n" ); document.write( "j = 33 + 2
\n" ); document.write( "j = 35 is Jane's present age
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\n" ); document.write( "Confirm this using the 1st statement:
\n" ); document.write( "\"5 years ago Jane was 5 times as old as her son. \"
\n" ); document.write( "35 - 5 = 5(11 - 5)
\n" ); document.write( "30 = 5(6) \n" ); document.write( "
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