document.write( "Question 1030274: Steve is 19 years older than his sister Ann. In 16 years, he will be twice as old as Ann. How old is each of them now? \n" ); document.write( "
Algebra.Com's Answer #645161 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Steve is 19 years older than his sister Ann \n" ); document.write( "S = A + 19.....(1) \n" ); document.write( "In 16 years, he will be twice as old as Ann. \n" ); document.write( "S + 16 = 2(A + 16)......(2) \n" ); document.write( "Replace S in Eq(2) with (A + 19) from \n" ); document.write( "Eq(1) \n" ); document.write( "A + 19 + 16 = 2(A + 16) \n" ); document.write( "A + 35 = 2A + 32 \n" ); document.write( "Collect like terms: \n" ); document.write( "2A - A = 35 - 32 \n" ); document.write( "A = 3 \n" ); document.write( "Ann is 3 years old. \n" ); document.write( "Steve is 22 years old \n" ); document.write( "................. \n" ); document.write( "In 16 years: \n" ); document.write( "Ann will be 19 years old \n" ); document.write( "Steve will be 38 years old. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |