document.write( "Question 835853: I have two brothers. I am eight years older than my younger brother. The difference
\n" );
document.write( "of my age from my younger brother’s age is twice the difference of my age from my big
\n" );
document.write( "brother’s age. We are now getting old, so the sum of our ages is now 164. How old am I? \n" );
document.write( "
Algebra.Com's Answer #503926 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = your age \n" ); document.write( "let b = big brother's age \n" ); document.write( "let c = younger brother's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I have two brothers. I am eight years older than my younger brother. \n" ); document.write( "a = c + 8 \n" ); document.write( "or \n" ); document.write( "c = a - 8 \n" ); document.write( ": \n" ); document.write( " The difference of my age from my younger brother’s age is twice the difference of my age from my big brother’s age. \n" ); document.write( "8 = 2(b - a) \n" ); document.write( "8 = 2b - 2a \n" ); document.write( "2a + 8 = 2b \n" ); document.write( "divide by 2 \n" ); document.write( "a + 4 = b \n" ); document.write( ": \n" ); document.write( " We are now getting old, so the sum of our ages is now 164. How old am I? \n" ); document.write( "a + b + c = 164 \n" ); document.write( "replace b with (a+4); replace c with (a-8) \n" ); document.write( "a + (a+4) + (a-8) = 164 \n" ); document.write( "3a - 4 = 164 \n" ); document.write( "3a = 164 + 4 \n" ); document.write( "3a = 168 \n" ); document.write( " a = 168/3 \n" ); document.write( " a = 56 is his age \n" ); document.write( ": \n" ); document.write( "to check this \n" ); document.write( "56 - 8 = 48 young brothers age \n" ); document.write( "and \n" ); document.write( "56 + 4 = 60 is old brother's age \n" ); document.write( "they add up to: \n" ); document.write( "56 + 60 + 48 = 164 \n" ); document.write( " |