document.write( "Question 386638: If Jen's current age is 32 and Devin's current age is 6. Write an equation which models how old, in years, Jen will be when she is 3 times as old as Devin. \n" ); document.write( "
Algebra.Com's Answer #273308 by gwendolyn(128)\"\" \"About 
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First, we'll assign Jen and Devin's ages variables.
\n" ); document.write( "let J=Jen's age
\n" ); document.write( "let D=Devin's age\r
\n" ); document.write( "\n" ); document.write( "Next, we'll write the equations for Jen's and Devin's ages.
\n" ); document.write( "J=32
\n" ); document.write( "D=6\r
\n" ); document.write( "\n" ); document.write( "We need to know how many years it will be until Jen's age is three times Devin's.
\n" ); document.write( "We'll assign a variable to this amount of time.\r
\n" ); document.write( "\n" ); document.write( "let x=the number of years until Jen's age is 3 times Devin's\r
\n" ); document.write( "\n" ); document.write( "Then, we can write the equation that will satisfy the question.
\n" ); document.write( "Jen's age will be 3 times that of Devin's in x years, so:
\n" ); document.write( "(J+x)=3(D+x)
\n" ); document.write( "After that, we can substitute in the values of J and D:
\n" ); document.write( "32+x=3(6+x)
\n" ); document.write( "Following this, we distribute the 3 over the parentheses
\n" ); document.write( "32+x=18+3x
\n" ); document.write( "We could use this as the equation, but I will solve it just in case you need me to.\r
\n" ); document.write( "\n" ); document.write( "To solve the equation, we subtract 18 from both sides:
\n" ); document.write( "14+x=3x
\n" ); document.write( "And then we subtract x from both sides:
\n" ); document.write( "14=2x
\n" ); document.write( "Finally, we divide both sides by two to isolate the variable.
\n" ); document.write( "7=x
\n" ); document.write( "x=7
\n" ); document.write( "Therefore, in seven years, Jen's age will be triple Devin's. \n" ); document.write( "
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