document.write( "Question 683583: Two years ago, the sum of the ages of a boy and his sister is 20 years. Three years from now, their ages will differ by 10 years. Form a pair of linear equations and find their present age. \n" ); document.write( "
Algebra.Com's Answer #423622 by mananth(16946)\"\" \"About 
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Let the boy's age bex
\n" ); document.write( "girls age be y\r
\n" ); document.write( "\n" ); document.write( "2 years ago their ages
\n" ); document.write( "x-2 boy's age
\n" ); document.write( "y-2 girls age\r
\n" ); document.write( "\n" ); document.write( "(x-2)+(y-2)=20
\n" ); document.write( "x+y-4=20
\n" ); document.write( "x+y=16...................(1)\r
\n" ); document.write( "\n" ); document.write( "3 years hence\r
\n" ); document.write( "\n" ); document.write( "their ages will be
\n" ); document.write( "x+3 & y+3\r
\n" ); document.write( "\n" ); document.write( "(x+3)-(y+3)=10
\n" ); document.write( "x-y=10.................(2)\r
\n" ); document.write( "\n" ); document.write( "Add (1) & (2)\r
\n" ); document.write( "\n" ); document.write( "2x= 26
\n" ); document.write( "x= 13 the boy's age
\n" ); document.write( "Girls age = 20-13=7\r
\n" ); document.write( "\n" ); document.write( "Their ages could be 13 & 7
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