document.write( "Question 912989: A father's age is 13 times that of his son. In 10 years, the son's age will be one-third that of his father's. What are their current ages? \n" ); document.write( "

Algebra.Com's Answer #554317 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let f = father's present age
\n" ); document.write( "let s = son's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement,
\n" ); document.write( ":
\n" ); document.write( "\"A father's age is 13 times that of his son.\"
\n" ); document.write( "f = 13s
\n" ); document.write( "\" In 10 years, the son's age will be one-third that of his father's.\"
\n" ); document.write( "s + 10 + $\"1%2F3\"$ (f + 10)
\n" ); document.write( "get rid of the fraction, multiply both sides by 3
\n" ); document.write( "3(s+10) = f + 10
\n" ); document.write( "3s + 30 = f + 10
\n" ); document.write( "Replace f with 13s (from the 1st statement)
\n" ); document.write( "3s + 30 = 13s + 10
\n" ); document.write( "30 - 10 = 13s - 3s
\n" ); document.write( "20 = 10s
\n" ); document.write( "s = 20/10
\n" ); document.write( "s = 2 yrs is the son's age
\n" ); document.write( ":
\n" ); document.write( "I'll let you find the father's age, check your solutions in the 2nd statement
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