document.write( "Question 319636: a son is half as old as his father.12 years ago the son was one third as old as his father. how is each now? \n" ); document.write( "
Algebra.Com's Answer #228905 by ankor@dixie-net.com(22740)\"\" \"About 
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Let s = son's age
\n" ); document.write( "Let f = father's age
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "\"a son is half as old as his father.\"
\n" ); document.write( "s = \"1%2F2\"f
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\n" ); document.write( "\"12 years ago the son was one third as old as his father.\"
\n" ); document.write( "s - 12 = \"1%2F3\"(f - 12)
\n" ); document.write( "multiply each side by 3, to get rid of the fraction
\n" ); document.write( "3(s - 12) = f - 12
\n" ); document.write( "3s - 36 = f - 12
\n" ); document.write( "3s = f - 12 + 36
\n" ); document.write( "3s = f + 24
\n" ); document.write( "Replace s with \"1%2F2\"f, (from the 1st statement)
\n" ); document.write( "3(\"1%2F2\"f) = f + 24
\n" ); document.write( "(\"3%2F2\"f = f + 24
\n" ); document.write( "Multiply both sides by 2 to get rid of the fraction, results:
\n" ); document.write( "3f = 2(f + 24)
\n" ); document.write( "3f = 2f + 48
\n" ); document.write( "3f - 2f = 48
\n" ); document.write( "f = 48 yrs is father's present age
\n" ); document.write( "then
\n" ); document.write( "\"1%2F2\"*48 = 24 yrs is son's present age\r
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the statement
\n" ); document.write( "\"12 years ago the son was one third as old as his father.\"
\n" ); document.write( "24 - 12 = \"1%2F3\"(48 - 12)
\n" ); document.write( "12 = \"1%2F3\"*36, confirms our solutions
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