document.write( "Question 1102456: If Rachel was 2 years older, she would be half of Kate's age. If Rachel was two years older, the sum of their ages would be 60. \n" ); document.write( "

Algebra.Com's Answer #717154 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Rachel was 2 years older, she would be half of Kate's age.
\n" ); document.write( " If Rachel was two years older, the sum of their ages would be 60.
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\n" ); document.write( "Write an equation for each statement
\n" ); document.write( "\" Rachel was 2 years older, she would be half of Kate's age.\"
\n" ); document.write( "r + 2 = $\"1%2F2\"$ k
\n" ); document.write( "get rid of the fraction, multiply by 2
\n" ); document.write( "2r + 4 = k
\n" ); document.write( ":
\n" ); document.write( "\" If Rachel was two years older, the sum of their ages would be 60.\"
\n" ); document.write( "r + 2 + k = 60
\n" ); document.write( "replace k with (2r+4), from the 1st statement
\n" ); document.write( "r + 2 + 2r + 4 = 60
\n" ); document.write( "3r + 6 = 60
\n" ); document.write( "3r = 60 - 6
\n" ); document.write( "3r = 54
\n" ); document.write( "r = 54/3
\n" ); document.write( "r = 18 yr is Rachel's age
\n" ); document.write( "therefore
\n" ); document.write( "k = 2(18) + 4
\n" ); document.write( "k = 36 + 4
\n" ); document.write( "k = 40 yrs is Kate's age
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\n" ); document.write( "You can confirm this using the ages in both statements
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