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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |