document.write( "Question 939639: Brad is nine more than two times as old as Ben. In 15 years the sum of their ages wil be 111. How old is Ben now? \n" ); document.write( "
Algebra.Com's Answer #572601 by laoman(51)![]() ![]() You can put this solution on YOUR website! Let the age of brad be br and age of ben be b \n" ); document.write( "From the first statement, br = 2*b + 9 ------ eqn 1 \n" ); document.write( "From the second statement, i.e in 15 yrs, \n" ); document.write( "Brad's age in 15yrs is br+15 and Ben's age would be b+15 \n" ); document.write( "Given that the sum of their ages would be 111 \n" ); document.write( "i.e br+15+b+15 = 111 \n" ); document.write( "Simplifying \n" ); document.write( "br+b = 111-30 \n" ); document.write( "br+b =81 --------eqn 2 \n" ); document.write( "Substituting 1 into 2, \n" ); document.write( "2*b + 9 + b =81, \n" ); document.write( "3b = 81-9 = 72 \n" ); document.write( "b = 72/3 = 24 \n" ); document.write( "Therefore Ben's age, b is 24 years \n" ); document.write( "QED\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also we can find br, i.e br = 2*b+9 = 2*24+9 = 57 \n" ); document.write( "Therefore, Brad's age is also 57 \n" ); document.write( "In the next 15 years, their age sum would absolutely be 111 \n" ); document.write( " \n" ); document.write( " |