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)\"\" \"About 
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( "
\n" );