document.write( "Question 354226: The sum of the ages of a father and son is 46 years. In 2 years, the son will be one-fourth as old as the father. What is the father's age now? \n" ); document.write( "

Algebra.Com's Answer #253173 by ewatrrr(24785) $\"\"$ $\"About$

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Hi,
\n" ); document.write( "*Note: In two years they will both be two years older: the sum of their ages at that time will be 50 years.
\n" ); document.write( "Let x and (50-x) represent their ages in two years
\n" ); document.write( ".
\n" ); document.write( " $\"x+=+%281%2F4%29%2A%2850-x%29\"$
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"%285%2F4%29x+=+%2850%2F4%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"x+=+%2850%2F4%29%2A%284%2F5%29\"$
\n" ); document.write( ".
\n" ); document.write( "x = 10 The son's age in two years (father will be 40 in two years)
\n" ); document.write( ".
\n" ); document.write( "Father's age is now 38
\n" ); document.write( ".
\n" ); document.write( "check your answer:
\n" ); document.write( "38 + 8 = 46 \n" ); document.write( "

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