document.write( "Question 341326: John is 13 years less than 3 times as old as his son. Six years ago, he was 14 years more than twice as old as his son was then. How old is John? \n" ); document.write( "
Algebra.Com's Answer #244536 by ankor@dixie-net.com(22740)\"\" \"About 
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John is 13 years less than 3 times as old as his son.
\n" ); document.write( " Six years ago, he was 14 years more than twice as old as his son was then.
\n" ); document.write( " How old is John?
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\n" ); document.write( "Let j = John's present age
\n" ); document.write( "Let s = son's present age
\n" ); document.write( ":
\n" ); document.write( "Write a equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"John is 13 years less than 3 times as old as his son.\"
\n" ); document.write( "j = 3s - 13
\n" ); document.write( ";
\n" ); document.write( "\" Six years ago, he was 14 years more than twice as old as his son was then.\"
\n" ); document.write( "j - 6 = 2(s-6) + 14
\n" ); document.write( "j - 6 = 2s - 12 + 14
\n" ); document.write( "j - 6 = 2s + 2
\n" ); document.write( "j = 2s + 2 + 6
\n" ); document.write( "j = 2s + 8
\n" ); document.write( ":
\n" ); document.write( "Replace j with (3s-13) from the 1st statement:
\n" ); document.write( "3s - 13 = 2s + 8
\n" ); document.write( "3s - 2s = 8 + 13
\n" ); document.write( "s = 21 yrs is the son's age
\n" ); document.write( ":
\n" ); document.write( "How old is John? j = 3s - 13
\n" ); document.write( "j = 3(21) - 13
\n" ); document.write( "j = 63 - 13
\n" ); document.write( "j = 50 yrs is John's age
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the statement:
\n" ); document.write( "\"Six years ago, he was 14 years more than twice as old as his son was then. \"
\n" ); document.write( "50 - 6 = 2(21 - 6) + 14
\n" ); document.write( "44 = 2(15) + 14; confirms our solution
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