document.write( "Question 1165624: Santos is 84 years younger than Brooke. 6 years ago Brookes age was 4 times Santos age. How old is Santos now? \n" ); document.write( "
Algebra.Com's Answer #798951 by mila nedic(19)\"\" \"About 
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Let's say that Santos's age will be represented by the letter s and Brooke's age will be represented by the letter b. We can use these variables to create equations that will help us solve the problem.
\n" ); document.write( "We have two pieces of information that we can use to create equations.
\n" ); document.write( "Santos is 84 years younger than Brooke: s+84=b
\n" ); document.write( "Six years ago Brooke's age was four times Santos's age: (s-6)*4=b-6
\n" ); document.write( "We now have two equations which will help us figure out the ages.
\n" ); document.write( "s+84=b and (s-6)*4=b-6
\n" ); document.write( "Since we know that s+84=b, we can use s+84 instead of b in (s-6)*4=b-6 so we are only dealing with one variable at a time.
\n" ); document.write( "(s-6)*4=b-6
\n" ); document.write( "(s-6)*4=(s+84)-6 (we replaced s+84 with b)
\n" ); document.write( "4s-6*4=s+84-6 (we removed the brackets)
\n" ); document.write( "4s-24=s+78 (the integers were simplified)
\n" ); document.write( "3s=102 (we subtracted s from both sides and added 24 to both sides to put the variable on one side and the integer on the other)
\n" ); document.write( "s=34 (we divided each side by three to isolate s)
\n" ); document.write( "Therefore Santos is 34 years old.\r
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