document.write( "Question 906326: in 2 years, edgar will be three fourths as old as his sister, edna. 2 years ago, he was two thirds as old as she. how old are they \n" ); document.write( "
Algebra.Com's Answer #549942 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = Egar's present age
\n" ); document.write( "let b = Edna's
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, simplify
\n" ); document.write( ":
\n" ); document.write( "in 2 years, edgar will be three fourths as old as his sister, edna
\n" ); document.write( "a + 2 = \"3%2F4\"(b + 2)
\n" ); document.write( "multiply both sides by 4
\n" ); document.write( "4(a+2) = 3(b+2)
\n" ); document.write( "4a + 8 = 3b + 6
\n" ); document.write( "4a = 3b + 6 - 8
\n" ); document.write( "4a = 3b - 2
\n" ); document.write( "divide both sides by 4, we can use decimals here
\n" ); document.write( "a = .75b - .5
\n" ); document.write( ":
\n" ); document.write( " 2 years ago, he was two thirds as old as she. how old are they
\n" ); document.write( "a - 2 = \"2%2F3\"(b-2)
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "3(a-2) = 2(b-2)
\n" ); document.write( "3a - 6 = 2b - 4
\n" ); document.write( "3a = 2b - 4 + 6
\n" ); document.write( "3a = 2b + 2
\n" ); document.write( "Replace a with (.75b-.5)
\n" ); document.write( "3(.75b - .5) = 2b + 2
\n" ); document.write( "2.25b - 1.5 = 2b + 2
\n" ); document.write( "2.25b - 2b = 2 + 1.5
\n" ); document.write( ".25b = 3.5
\n" ); document.write( "multiply both sides by 4
\n" ); document.write( "b = 14 yrs is Edna's age
\n" ); document.write( "Find a
\n" ); document.write( "a = .75(14) - .5
\n" ); document.write( "a = 10.5 - .5
\n" ); document.write( "a = 10 yrs is Edgar's age
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\n" ); document.write( "See if the check out in the statement:
\n" ); document.write( "\" 2 years ago, he was two thirds as old as she.\"
\n" ); document.write( "10 - 2 = \"2%2F3\"(14 - 2)
\n" ); document.write( "8 = \"2%2F3\"*12
\n" ); document.write( "8 = 8
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