document.write( "Question 1173699: In 5 years Kurt will be as twice as old as Vince. Five years ago, Kurt was three times as old as Vince. How old is each person now. \n" ); document.write( "
Algebra.Com's Answer #798976 by mila nedic(19)\"\" \"About 
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Let's say Kurt's age is k and Vince's age is v. We can use these variables to create equations to help us solve the problem.
\n" ); document.write( "We have two pieces of information. In 5 years Kurt will be twice as only as Vince:(k+5)=2(v+5) and 5 years ago, Kurt was three times as old as Vince: (k-5)=3(v-5)\r
\n" ); document.write( "\n" ); document.write( "(k+5)=2(v+5)
\n" ); document.write( "k+5=2v+10
\n" ); document.write( "k-2v=5
\n" ); document.write( "k=5+2v (now that we have solved for k we can use it for the next equation so we are only dealing with one variable at a time.\r
\n" ); document.write( "\n" ); document.write( "(k-5)=3(v-5)
\n" ); document.write( "k-5=3v-15
\n" ); document.write( "k-3v=-10 (simplify this equation as much as possible)
\n" ); document.write( "(5+2v)-3v=-10 (input 5+2v instead of k so we can solve for v)
\n" ); document.write( "5-v=-10
\n" ); document.write( "-v=-15
\n" ); document.write( "v=15 (Vince is 15 years old)\r
\n" ); document.write( "\n" ); document.write( "Now we can use one of the first equations to solve for Kurt's age. Let's take (k+5)=2(v+5)
\n" ); document.write( "k+5=2(15+5) (we replace v with 15 because we know that v=15)
\n" ); document.write( "k+5=40
\n" ); document.write( "k=35 (Kurt is 35 years old)\r
\n" ); document.write( "\n" ); document.write( "To check our work we can use the second equation to see if we are correct.
\n" ); document.write( "(k-5)=3(v-5)
\n" ); document.write( "35-5=3(15-5) (we replace k with 35 and v with 15)
\n" ); document.write( "30=30 (since they are equal we know our answers are correct)\r
\n" ); document.write( "\n" ); document.write( "Therefore Vince is 15 years old and Kurt is 35 years old. \n" ); document.write( "
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