document.write( "Question 616854: Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #387930 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "Present age of Barry = b
\n" ); document.write( "Present age of his sister = s\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Barry is 8 years older than his sister
\n" ); document.write( "b=s+8..........(1)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In 3 years
\n" ); document.write( "Barry will be = b+3
\n" ); document.write( "His sister will be = s+3\r
\n" ); document.write( "\n" ); document.write( "Then\r
\n" ); document.write( "\n" ); document.write( "He will be twice as old as his sister will be\r
\n" ); document.write( "\n" ); document.write( "b+3=2(s+3)
\n" ); document.write( "b+3=2s+6
\n" ); document.write( "b=2s+6-3
\n" ); document.write( "b=2s+3.................(2)\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of b from (1) to (2)\r
\n" ); document.write( "\n" ); document.write( "s+8=2s+3
\n" ); document.write( "s-2s=3-8
\n" ); document.write( "-s=-5
\n" ); document.write( "cancel out (-)
\n" ); document.write( "s=5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute the value of s in (1)
\n" ); document.write( "b=s+8
\n" ); document.write( "b=5+8
\n" ); document.write( "b=13\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Barry = b = 13 years old
\n" ); document.write( "Present age of his sister = s = 5 years old
\n" ); document.write( "
\n" ); document.write( "
\n" );