document.write( "Question 1036660: In 5 years the ratio of Julie's age to Song's age will be 3:5. In 10 years the ratio of Julie's age to Songs's age will be 2:3. What is the sum of their current ages ? \n" ); document.write( "
Algebra.Com's Answer #651383 by ankor@dixie-net.com(22740)\"\" \"About 
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In 5 years the ratio of Julie's age to Song's age will be 3:5.
\n" ); document.write( " In 10 years the ratio of Julie's age to Songs's age will be 2:3.
\n" ); document.write( " What is the sum of their current ages?
\n" ); document.write( ":
\n" ); document.write( "let j = J's present age
\n" ); document.write( "let s = S's present age
\n" ); document.write( ":
\n" ); document.write( "\"In 5 years the ratio of Julie's age to Song's age will be 3:5.\"
\n" ); document.write( "\"%28j%2B5%29%2F%28s%2B5%29\" = \"3%2F5\"
\n" ); document.write( "cross multiply
\n" ); document.write( "5(j+5) = 3(s+5)
\n" ); document.write( "5j + 25 = 3s + 15
\n" ); document.write( "5j = 3s + 15 - 25
\n" ); document.write( "5j = 3s -10
\n" ); document.write( ":
\n" ); document.write( "\"In 10 years the ratio of Julie's age to Songs's age will be 2:3.\"
\n" ); document.write( "\"%28j%2B10%29%2F%28s%2B10%29\" = \"2%2F3\"
\n" ); document.write( "cross multiply
\n" ); document.write( "3(j+10) = 2(s+10)
\n" ); document.write( "3j + 30 = 2s + 20
\n" ); document.write( "3j = 2s + 20 - 30
\n" ); document.write( "3j = 2s - 10
\n" ); document.write( ":
\n" ); document.write( "Use elimination on these two simplified equations
\n" ); document.write( "Multiply the 1st equation by 2, multiply the 2nd equation by 3, we have
\n" ); document.write( "10j = 6s - 20
\n" ); document.write( "9j = 6s - 30
\n" ); document.write( "--------------- subtraction eliminates s, find j
\n" ); document.write( "j = 10 yrs I J's present age
\n" ); document.write( ":
\n" ); document.write( "find s, using 5j = 3s - 10
\n" ); document.write( "5(10) = 3s - 10
\n" ); document.write( "50 + 10 = 3s
\n" ); document.write( "60 = 3s
\n" ); document.write( "s = 60/3
\n" ); document.write( "s = 20 yrs is S's present age
\n" ); document.write( ":
\n" ); document.write( "Confirm these solutions in the statement
\n" ); document.write( "\"In 10 years the ratio of Julie's age to Songs's age will be 2:3.\"
\n" ); document.write( "\"%2810%2B10%29%2F%2820%2B10%29\" = \"2%2F3\"
\n" ); document.write( "\"20%2F30\" = \"2%2F3\"
\n" ); document.write( ":
\n" ); document.write( " What is the sum of their current ages ? You can do this. \n" ); document.write( "
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