document.write( "Question 176136: Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age. How old are they now?
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Algebra.Com's Answer #131237 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six) \n" ); document.write( " more than 1/2 (half) of Elvin's age. How old are they now? \n" ); document.write( ": \n" ); document.write( "Let Ev = Eva's age now \n" ); document.write( "Let En = Elvin's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Eva is six years older than Elvin.\" \n" ); document.write( "Ev = En + 6 \n" ); document.write( ": \n" ); document.write( "\" In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age.\" \n" ); document.write( "Ev + 4 = .5(En+4) + 26 \n" ); document.write( "Ev + 4 = .5En + 2 + 26 \n" ); document.write( "Ev = .5En + 28 - 4 \n" ); document.write( "Ev = .5En + 24 \n" ); document.write( ": \n" ); document.write( " How old are they now? \n" ); document.write( ": \n" ); document.write( "Substitute (En+6) for Ev in the using the above equation \n" ); document.write( "(En+6) = .5En + 24 \n" ); document.write( "En + 6 = .5En + 24 \n" ); document.write( "En - .5En = 24 - 6 \n" ); document.write( ".5En = 18 \n" ); document.write( "En = \n" ); document.write( "En = 36 yrs is Elvin's age now \n" ); document.write( "then \n" ); document.write( "Ev = 36 + 6 \n" ); document.write( "Ev = 42 is Eva's age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age.\" \n" ); document.write( "46 = .5(40) + 26 \n" ); document.write( "46 = 20 + 26 \n" ); document.write( " |