document.write( "Question 1076193: Martin is 5 years older than his sister. Five years ago, he was 2 times older than his sister. How old is Martin and his sister now? What is a system of equations for this question? \n" ); document.write( "
Algebra.Com's Answer #690847 by Timnewman(323)![]() ![]() You can put this solution on YOUR website! Martin is 5 years older than his sister. Five years ago, he was 2 times older than his sister. How old is Martin and his sister now? What is a system of equations for this question?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Solution. \n" ); document.write( "Let the sister's age be x yrs \n" ); document.write( "then, \n" ); document.write( "from your first sentence, \n" ); document.write( "Martin's age =(x+5) yrs \n" ); document.write( "From your second sentence, \n" ); document.write( "Five years ago, \n" ); document.write( "sister's age=x-5 \n" ); document.write( "then, \n" ); document.write( "martin's age=(x+5)-5=x \n" ); document.write( "but,martin was two times older, \n" ); document.write( "therefore, \n" ); document.write( "x=2(x-5) \n" ); document.write( "solving the resulting equation, \n" ); document.write( "x=2x-10 \n" ); document.write( "2x-x=10 \n" ); document.write( "x=10 \n" ); document.write( "sister's age is 10yrs, \n" ); document.write( "martin's age=x+5 \n" ); document.write( " =10+5=15yrs \n" ); document.write( " |