document.write( "Question 1114597: Amy is 12 years more than half Penny's age in 7 years Amy will be 22 years less than two times Penny's age. What are their ages?
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Algebra.Com's Answer #729614 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = Amy's present age
\n" ); document.write( "let p = Penny's
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( " Amy is 12 years more than half Penny's age
\n" ); document.write( "a = \"1%2F2\"p + 12
\n" ); document.write( " in 7 years Amy will be 22 years less than two times Penny's age.
\n" ); document.write( "a + 7 = 2(p+7) - 22
\n" ); document.write( "a = 2p + 14 - 22 - 7
\n" ); document.write( "a = 2p - 15
\n" ); document.write( "in the first equation, replace a with (2p-15)
\n" ); document.write( "2p - 15 = \"1%2F2\"p + 12
\n" ); document.write( "2p = \"1%2F2\"p + 12 + 15
\n" ); document.write( "2p = \"1%2F2\"p + 27
\n" ); document.write( "2p -\"1%2F2\"p = 27
\n" ); document.write( "1.5p = 27
\n" ); document.write( "p = \"27%2F1.5\"
\n" ); document.write( "p = 18 yrs is Penny's age
\n" ); document.write( "then
\n" ); document.write( "a = 2(18) - 15
\n" ); document.write( "a = 21 yrs is Amy's age
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\n" ); document.write( "Check in the statement
\n" ); document.write( "\"Amy is 12 years more than half Penny's age
\n" ); document.write( "21 = \"1%2F2\"(18) + 12
\n" ); document.write( "21 = 9 + 12\r
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