document.write( "Question 393128: please help me with these problems:
\n" ); document.write( "1. Olan is 3 years older than his sister, Rose. One-half of Olan's age is 13 yrs. more than 1/4 his sister's age one year ago. Find their ages now.\r
\n" ); document.write( "\n" ); document.write( "2. Grace is 4 times as old as Vicky. Five years ago, Vicky was 30 years younger than Grace. Find their present ages.\r
\n" ); document.write( "\n" ); document.write( "Thanks. I will appreciate your help in my daughter's homework. \n" ); document.write( "
Algebra.Com's Answer #279061 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Here is a method you can use on most of these age problems
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\n" ); document.write( "Let L = Olan's present age
\n" ); document.write( "Let R = Roses present age
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\" Olan is 3 years older than his sister, Rose.\"
\n" ); document.write( "L = R + 3
\n" ); document.write( ":
\n" ); document.write( "\"One-half of Olan's age is 13 yrs. more than 1/4 his sister's age one year ago.\"
\n" ); document.write( "\"1%2F2\"L = 13 + \"1%2F4\"(R-1)
\n" ); document.write( "Get rid of those fractions multiply both sides by 4, results:
\n" ); document.write( "2L = 4(13) + R - 1
\n" ); document.write( "2L = 52 + R - 1
\n" ); document.write( "2L = R + 51
\n" ); document.write( "Substitute (R+3) for L (1st statement)
\n" ); document.write( "2(R+3) = R + 51
\n" ); document.write( "2R + 6 = R + 51
\n" ); document.write( "2R - R = 51 - 6
\n" ); document.write( "R = 45 yrs is Roses age
\n" ); document.write( "then
\n" ); document.write( "L = 45 + 3
\n" ); document.write( "L = 48 yrs is Olan's age
\n" ); document.write( ":
\n" ); document.write( "Check our solutions in the statement:
\n" ); document.write( "\"One-half of Olan's age is 13 yrs. more than 1/4 his sister's age one year ago.\"
\n" ); document.write( "\"1%2F2\"(48) = 13 + \"1%2F4\"(45-1)
\n" ); document.write( "24 = 13 + 11
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\n" ); document.write( "2. \"Grace is 4 times as old as Vicky.\"
\n" ); document.write( "G = 4V
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\n" ); document.write( "\"Five years ago, Vicky was 30 years younger than Grace.\"
\n" ); document.write( "V - 5 = (G - 5) - 30
\n" ); document.write( "V - 5 = G - 35
\n" ); document.write( "V = G - 35 + 5
\n" ); document.write( "V = G - 30
\n" ); document.write( "Replace G with 4V
\n" ); document.write( "V = 4V - 30
\n" ); document.write( "+30 = 4V - V
\n" ); document.write( "30 = 3V
\n" ); document.write( "V = 10 is Vicky's present age
\n" ); document.write( "then
\n" ); document.write( "G = 4(10)
\n" ); document.write( "G = 40 is Grace's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"Five years ago, Vicky was 30 years younger than Grace.\"
\n" ); document.write( "10 - 5 = 40 - 5 - 30
\n" ); document.write( "5 = 40 - 35\r
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