document.write( "Question 296356: Alice is 8 years older than her brother john. in 5 years she will be twice as old as john. how old are alice and john now? \n" ); document.write( "
Algebra.Com's Answer #213550 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let A = Alice's present age and J = John's present age. \n" ); document.write( "1) A = J+8 \"Alice is 8 years older than...John.\" \n" ); document.write( "2) A+5 = 2(J+5) \"In 5 years,she will be twice as old as John.\" \n" ); document.write( "Substitute A = J+8 from equation 1) into equation 2) and solve for J. \n" ); document.write( "2a) (J+8)+5 = 2(J+5) Simplify and solve for J \n" ); document.write( "2b) J+13 = 2J+10 Subtract J from both sides. \n" ); document.write( "2c) 13 = J+10 Subtract 10 from both sides. \n" ); document.write( "2d) J = 3 and A = J+8 = 11 \n" ); document.write( "Alice is 11 years old and John is 3 years old. \n" ); document.write( " |