document.write( "Question 609257: Frank is 4 times as old as Lin. the difference in their ages is equal to Lin's age plus 8. how old is each? \n" ); document.write( "
Algebra.Com's Answer #383647 by math-vortex(648)\"\" \"About 
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Hi, there--
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\n" ); document.write( "Let F be Franks age.
\n" ); document.write( "Let L be Lin's age.
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\n" ); document.write( "Now write two equations using the information we are given.
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\n" ); document.write( "In algebra, \"Frank is 4 times as old as Lin,\" can be written as
\n" ); document.write( "F = 4L
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\n" ); document.write( "\"The difference in their ages is equal to Lin's age plus 8,\" can be written as
\n" ); document.write( "F - L = L + 8
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\n" ); document.write( "We use substitution to solve the equations. Substitute 4L for F in the second equation
\n" ); document.write( "F - L = L + 8
\n" ); document.write( "4L - L = L + 8
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\n" ); document.write( "Combine like terms and solve for L.
\n" ); document.write( "3L = L + 8
\n" ); document.write( "2L = 8
\n" ); document.write( "L = 4
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\n" ); document.write( "Substitute 4 for L in the first equation.
\n" ); document.write( "F = 4L
\n" ); document.write( "F = 4*4
\n" ); document.write( "F = 16
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\n" ); document.write( "Frank is 16 and Lin is 4 years old. Check your answers using the original language of the problem.
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\n" ); document.write( "16 is four times as old as 4? Yes!
\n" ); document.write( "The difference (16-4=12) is equal to Lin's age plus 8 (4+8=12)? Yes!
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\n" ); document.write( "That's it! Feel free to email if you have questions,
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\n" ); document.write( "Ms.Figgy
\n" ); document.write( "math.in.the.vortex\r
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