document.write( "Question 506293: Jean is 27 years older than her daughter Rita. After 8 years she will be twice as old as Rita. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #340176 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Present age of Jean = j
\n" ); document.write( "Present age of Rita = r
\n" ); document.write( "Jean is 27 years older than her daughter Rita means if we add 27 to Rita's present both mother and daughter will be of equal age
\n" ); document.write( "j=r+27 ............(1)
\n" ); document.write( "After 8 years means we have to add 8 in their present ages
\n" ); document.write( "j+8=r+8
\n" ); document.write( "then
\n" ); document.write( "Jean will be twice as old as Rita
\n" ); document.write( "j+8=2*(r+8)
\n" ); document.write( "j+8=2r+16
\n" ); document.write( "j=2r+16-8
\n" ); document.write( "j=2r+8 ....................(2)
\n" ); document.write( "Put the value of j from (1) to (2)
\n" ); document.write( "r+27=2r+8
\n" ); document.write( "r-2r=8-27
\n" ); document.write( "-r=-19
\n" ); document.write( "Multiply by (-1) both sides of the equation
\n" ); document.write( "(-1)(-r)=(-1)(-19)
\n" ); document.write( "r=19
\n" ); document.write( "Plug in the value of r in (1)
\n" ); document.write( "j=r+27 ............(1)
\n" ); document.write( "j=19+27
\n" ); document.write( "j=46\r
\n" ); document.write( "\n" ); document.write( "Present age of Jean = j = 46 years old
\n" ); document.write( "Present age of Rita = r = 19 years old\r
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