document.write( "Question 309778: 1. rose is 6yrs older than her sister in four years she will be nine years more than one half as old as her sister, how old are they now?
\n" ); document.write( "2. edwin is twice as old as ruel, in three years edwin will be 13 years less than twice as old as ruel, find their present ages?
\n" ); document.write( "3. susan is 4/5 as old as ronald, four years ago she was 3/4 as old as ronald, how old is each?
\n" ); document.write( "4. edwin is four years older than his brother alwin, in two years edwin will be 20 more than 1/3rd alwins age, how old are the brothers now? \n" ); document.write( "
Algebra.Com's Answer #221630 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I will give a step-by-step solution on the 1st problem, then give the equations on the last 3:
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\n" ); document.write( "1. rose is 6 yrs older than her sister in four years she will be nine years
\n" ); document.write( " more than one half as old as her sister, how old are they now?
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\n" ); document.write( "Write an equation for each statement
\n" ); document.write( "\"rose is 6 yrs older than her sister\"
\n" ); document.write( "r = s + 6
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\n" ); document.write( "\"in four years she will be nine years more than one half as old as her sister,\"
\n" ); document.write( "r + 4 = .5(s+4) + 9
\n" ); document.write( "r + 4 = .5s + 2 + 9
\n" ); document.write( "r + 4 = .5s + 11
\n" ); document.write( "r = .5s + 11 - 4
\n" ); document.write( "r = .5s + 7
\n" ); document.write( "Replace r with s+6 from the 1st statement
\n" ); document.write( "s + 6 = .5s + 7
\n" ); document.write( "s - .5s = 7 - 6
\n" ); document.write( ".5s = 1
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "s = 2 is the sisters age
\n" ); document.write( "then
\n" ); document.write( "r = .5s + 7
\n" ); document.write( "r = .5(2) + 7
\n" ); document.write( "r = 1 + 7
\n" ); document.write( "r = 8 is Roses age
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"in four years she will be nine years more than one half as old as her sister,
\n" ); document.write( "8 + 4 = .5(2 + 4) + 9
\n" ); document.write( "12 = .5(6) + 9
\n" ); document.write( "12 = 3 + 9; confirms our solution
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\n" ); document.write( "2. edwin is twice as old as ruel,
\n" ); document.write( " in three years edwin will be 13 years less than twice as old as ruel,
\n" ); document.write( " find their present ages?
\n" ); document.write( "This is not a valid problem, no solution here
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\n" ); document.write( "3. susan is 4/5 as old as ronald,
\n" ); document.write( "s = \"4%2F5\"r
\n" ); document.write( "four years ago she was 3/4 as old as ronald,
\n" ); document.write( "s - 4 = \"3%2F4\"(r-4)
\n" ); document.write( " how old is each?
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\n" ); document.write( "4. edwin is four years older than his brother alwin,
\n" ); document.write( "e = a + 4
\n" ); document.write( "in two years edwin will be 20 more than 1/3rd alwins age,
\n" ); document.write( "e + 2 = \"1%2F3\"(a+2) + 20
\n" ); document.write( " how old are the brothers now?
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\n" ); document.write( "See if you can solve the last two using the 1st one as an example,
\n" ); document.write( "if you need more help, let me know in the comment section. \n" ); document.write( "
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