document.write( "Question 902666: Suasan is three times as old as nancy, and Carrie is 5 years younger than Susan. Three years ago the sum of their ages was 56. What was nancy age four years ago? \n" ); document.write( "

Algebra.Com's Answer #547438 by stanbon(75887) $\"\"$ $\"About$

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Susan is three times as old as nancy, and Carrie is 5 years younger than Susan. Three years ago the sum of their ages was 56. What was nancy age four years ago?
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\n" ); document.write( "Equations:
\n" ); document.write( "s = 3n
\n" ); document.write( "c = s-5
\n" ); document.write( "s-3 + n-3 + c-3 = 56
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\n" ); document.write( "s + n + c = 65
\n" ); document.write( "Substitute for n and for c; solve for \"s\"::
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\n" ); document.write( "s + (s/3) + s-5 = 65
\n" ); document.write( "-----------
\n" ); document.write( "s + (1/3)s + s = 65
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\n" ); document.write( "(7/3)s = 65
\n" ); document.write( "s = (3/7)65
\n" ); document.write( "s = 27.86 years (Susan's age now)
\n" ); document.write( "-----
\n" ); document.write( "n = (1/3)s = (1/3)27.86 = 9.29 years (Nancy's age now)
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\n" ); document.write( "c = s-5 = 22.86 years (Susan's age now)
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\n" ); document.write( "Nancy's age 4 years ago:: n-4 = 5.29 years
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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