document.write( "Question 947470: Could you please help with this problem?\r
\n" ); document.write( "\n" ); document.write( "The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages now.\r
\n" ); document.write( "\n" ); document.write( "I got this formula, but I think I'm incorrect:\r
\n" ); document.write( "\n" ); document.write( "\"+%287%2Ax-5%29%2F%286%2Ax-5%29=+%286%2A%28x-5%29%29%2F%285%2A%28x-5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "this gives me an answer of \"+65%2F36+\", but I don't think it's right.
\n" ); document.write( "

Algebra.Com's Answer #578143 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Could you please help with this problem?\r
\n" ); document.write( "\n" ); document.write( "The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages now.\r
\n" ); document.write( "\n" ); document.write( "I got this formula, but I think I'm incorrect:\r
\n" ); document.write( "\n" ); document.write( "\"+%287%2Ax-5%29%2F%286%2Ax-5%29=+%286%2A%28x-5%29%29%2F%285%2A%28x-5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "this gives me an answer of \"+65%2F36+\", but I don't think it's right.
\n" ); document.write( "
Current ratio of husband's to wife's age: 7:6
\n" ); document.write( "Let multiplicative factor be x
\n" ); document.write( "Then husband’s current age is: 7x and the wife’s is: 6x
\n" ); document.write( "Five years ago, husband was: 7x – 5, and wife was: 6x – 5
\n" ); document.write( "We then get: \"%287x+-+5%29%2F%286x+-+5%29+=+6%2F5\" ------ Ratio, 5 years ago was \"6%3A5\"
\n" ); document.write( "6(6x – 5) = 5(7x – 5) -------- Cross-multiplying
\n" ); document.write( "36x – 30 = 35x – 25
\n" ); document.write( "36x – 35x = - 25 + 30
\n" ); document.write( "x, or multiplicative factor = 5\r
\n" ); document.write( "\n" ); document.write( "Husband’s current age: 7(5), or \"highlight_green%2835%29\"
\n" ); document.write( "Wife’s current age: 6(5), or \"highlight_green%2830%29\" \n" ); document.write( "
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