document.write( "Question 1103909: Tyler is 4 years older than his younger brother Austin. The ratio of Austin's age to Tyler's age is 1/24 more today than it was 8 years ago. Write a rational equation in one variable to model this situation, using a to represent Austin's age. \n" ); document.write( "

Algebra.Com's Answer #718640 by greenestamps(13203) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "It's a strange way to word the problem; with the interpretation I expected, there are no whole number answers for their ages. But with a different interpretation, there are.

\n" ); document.write( "But the problem only asked us to write an equation; it didn't ask us to solve the problem.

\n" ); document.write( "If a is Austin's age, then Tyler's age is a+4; the ratio of Austin's age to Tyler's age is a/(a+4).

\n" ); document.write( "8 years ago, their ages were a-8 and a-4; the ratio of their ages then was (a-8)/(a-4).

\n" ); document.write( "The problem says the ratio now is 1/24 more than the ratio 8 years ago:

\n" ); document.write( " $\"a%2F%28a%2B4%29+=+%28a-8%29%2F%28a-4%29+%2B+1%2F24\"$ \n" ); document.write( "

\n" );