document.write( "Question 1167243: Five times Jeff's age plus three times Karen's are equals 92. Karen's age is 4 more than Jeff's age. How old is Karen? \n" ); document.write( "

Algebra.Com's Answer #791844 by VFBundy(438) $\"\"$ $\"About$

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Karen's age = k
\n" ); document.write( "Jeff's age = j
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\n" ); document.write( "5j + 3k = 92
\n" ); document.write( "k = j + 4
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\n" ); document.write( "5j + 3k = 92
\n" ); document.write( "-j + k = 4
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\n" ); document.write( "Multiply second equation by 5:
\n" ); document.write( "
\n" ); document.write( "5j + 3k = 92
\n" ); document.write( "-5j + 5k = 20
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\n" ); document.write( "Add both equations together and solve for k:
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\n" ); document.write( "8k = 112
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\n" ); document.write( "k = 14
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\n" ); document.write( "Karen's age = k = 14 \n" ); document.write( "

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