document.write( "Question 1183265: a man is six years older than his wife.six years ago the ratio of their ages wa 7:6 find their present ages \n" ); document.write( "

Algebra.Com's Answer #813490 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a man is six years older than his wife.
\n" ); document.write( "m = w + 6
\n" ); document.write( "six years ago the ratio of their ages was 7:6
\n" ); document.write( " $\"%28m-6%29%2F%28w-6%29+=+7%2F6\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "7(w-6) = 6(m-6)
\n" ); document.write( "7w - 42 = 6m - 36
\n" ); document.write( "7w - 6m = -36 + 42
\n" ); document.write( "7w - 6m = 6
\n" ); document.write( "from the 1st statement, replace m with (w+6)
\n" ); document.write( "7w - 6(w+6) = 6
\n" ); document.write( "7w - 6w - 36 = 6
\n" ); document.write( "w = 36 + 6
\n" ); document.write( "w = 42 yrs is the wife's age
\n" ); document.write( ":
\n" ); document.write( "find their present ages
\n" ); document.write( "m = 42 + 6
\n" ); document.write( "m = 48 is man's age
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check in the statement
\n" ); document.write( "\"six years ago the ratio of their ages was 7:6\"
\n" ); document.write( " $\"%2848-6%29%2F%2842-6%29\"$ = $\"42%2F36\"$ reduces to 7:6
\n" ); document.write( " \n" ); document.write( "

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