document.write( "Question 410519: Irene's present age is 1/2 of Michele's present age. In 12 years, Irene's age will be 5/8 of Michele's age. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #288723 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let r = Irene's age
\n" ); document.write( "Let m = Michele's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "Irene's present age is 1/2 of Michele's present age.
\n" ); document.write( "r = $\"1%2F2\"$ m
\n" ); document.write( "we can also write it as
\n" ); document.write( "m = 2r
\n" ); document.write( ":
\n" ); document.write( " In 12 years, Irene's age will be 5/8 of Michele's age.
\n" ); document.write( "r + 12 = $\"5%2F8\"$ (m + 12)
\n" ); document.write( ":
\n" ); document.write( "Multiply both sides by 8, results
\n" ); document.write( "8(r + 12) = 5(m + 12)
\n" ); document.write( "8r + 96 = 5m + 60
\n" ); document.write( "8r = 5m + 60 - 96
\n" ); document.write( "8r = 5m - 36
\n" ); document.write( "replace m with 2r
\n" ); document.write( "8r = 5(2r) - 36
\n" ); document.write( "8r = 10r - 36
\n" ); document.write( "36 = 10r - 8r
\n" ); document.write( "36 = 2r
\n" ); document.write( " r = $\"36%2F2\"$
\n" ); document.write( "r = 18 yrs is Irene's present age
\n" ); document.write( "then
\n" ); document.write( "m = 2(18)
\n" ); document.write( "m = 36 is Michele's age
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\n" ); document.write( ":
\n" ); document.write( "Check that in the statement:
\n" ); document.write( "\"In 12 years, Irene's age will be 5/8 of Michele's age.
\n" ); document.write( "18 + 12 = $\"5%2F8\"$ (36 + 12
\n" ); document.write( "30 = $\"5%2F8\"$ (48); confirms our solutions\r
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