document.write( "Question 1158671: A man is four times older than his son but five years older than his wife. The sum of their ages is 103. How old is the man? \n" ); document.write( "

Algebra.Com's Answer #781665 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assigning n for the son's age, and following the description as written:
\n" ); document.write( "

\r\n" );
document.write( "Man         n+4n=5n\r\n" );
document.write( "Son         n\r\n" );
document.write( "Wife        5n-5\r\n" );
document.write( "SUM        103\r\n" );
document.write( "

\n" ); document.write( "This gives equation $\"5n%2Bn%2B%285n-5%29=103\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"11n-5=103\"$
\n" ); document.write( " $\"11n=108\"$
\n" ); document.write( " $\"n=108%2F11\"$
\n" ); document.write( " $\"n=9.818\"$ if to three decimal figures to right of decimal point.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n, son's age is 9 years 43 weeks.
\n" ); document.write( "Is that the kind of result you expect? \n" ); document.write( "

\n" );