document.write( "Question 257374: Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than 1/2 of Elvin's age. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #189310 by ankor@dixie-net.com(22740)\"\" \"About 
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Let e = Eva's present age
\n" ); document.write( "Let b = brother's present age
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"Eva is 6 years older than her brother,\"
\n" ); document.write( "e = b + 6
\n" ); document.write( ":
\n" ); document.write( "\"In 4 years, Eva will be 26 more than 1/2 of brother's age.\"
\n" ); document.write( "e + 4 = .5(b+4) + 26
\n" ); document.write( "e + 4 = .5b + 2 + 26
\n" ); document.write( "e = .5b + 28 - 4
\n" ); document.write( "e = .5b + 24
\n" ); document.write( "Replace e with (b+6) from the 1st statement:
\n" ); document.write( "b + 6 = .5b + 24
\n" ); document.write( "b - .5b = 24 - 6
\n" ); document.write( ".5b = 18
\n" ); document.write( "b = \"18%2F.5\"
\n" ); document.write( "b = 36 yrs old is brother Al
\n" ); document.write( "and
\n" ); document.write( "36 + 6 = 42 yrs is sister Eva
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\n" ); document.write( "See if that works in the statement:
\n" ); document.write( "In 4 years, Eva will be 26 more than 1/2 of brother's age.\"
\n" ); document.write( "42 + 4 = .5(36+4) + 26
\n" ); document.write( "46 = .5(40) + 26
\n" ); document.write( "46 = 20 + 26\r
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