document.write( "Question 624118: A man is four yrs.older than his wife of 5 times as old as his son.when the son was born the age of the wife is 6/7 that of husband age.find the age of his wife \n" ); document.write( "
Algebra.Com's Answer #392565 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each phrase
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\n" ); document.write( "\"A man is four yrs.older than his wife\"
\n" ); document.write( "m = w+4
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\n" ); document.write( "\"5 times as old as his son.\"
\n" ); document.write( "m = 5s
\n" ); document.write( "replace m with w+4
\n" ); document.write( "5s = w+4
\n" ); document.write( "s = \"%28%28w%2B4%29%29%2F5\"
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\n" ); document.write( "\"when the son was born the age of the wife is 6/7 that of husband age.\"
\n" ); document.write( "w - s = \"6%2F7\"(m-s)
\n" ); document.write( "multiply both sides by 7
\n" ); document.write( "7(w-s) = 6(m-s)
\n" ); document.write( "7w - 7s = 6m - 6s
\n" ); document.write( "7w = 6m - 6s + 7s
\n" ); document.write( "7w = 6m + s
\n" ); document.write( "Replace m with (w+4)
\n" ); document.write( "7w = 6(w+4) + s
\n" ); document.write( "7w = 6w + 24 + s
\n" ); document.write( "7w - 6w = s + 24
\n" ); document.write( "w = s + 24
\n" ); document.write( "replace s with \"%28%28w%2B4%29%29%2F5\"
\n" ); document.write( "w = (\"%28%28w%2B4%29%29%2F5\") + 24
\n" ); document.write( "multiply eq by 5
\n" ); document.write( "5w = w + 4 + 5(24)
\n" ); document.write( "5w - w = 4 + 120
\n" ); document.write( "4w = 124
\n" ); document.write( "w = \"124%2F4\"
\n" ); document.write( "w = 31 yrs is wife's present age
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\n" ); document.write( "Check this
\n" ); document.write( "31 + 4 = 35 yrs is man's present age
\n" ); document.write( "s = 35/5, (man is 5 times son's age)
\n" ); document.write( "s = 7 yrs is son's present age
\n" ); document.write( "Check solution in the statement,
\n" ); document.write( "\"when the son was born the age of the wife is 6/7 that of husband age.\"
\n" ); document.write( "31 - 7 = \"6%2F7\"(35-7)
\n" ); document.write( "24 = \"6%2F7\"*28
\n" ); document.write( "24 = 6*4; confirms our solution of wife's age is 31\r
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