document.write( "Question 901128: The sum of the ages of Mark and Linda is 114 years. 7 years ago, Mark's age was 4 times Linda's age. How old is Mark now?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #546537 by JulietG(1812)\"\" \"About 
You can put this solution on YOUR website!
M + L = 114
\n" ); document.write( "M-7 = 4(L-7)
\n" ); document.write( "Distribute
\n" ); document.write( "M-7 = 4L-28
\n" ); document.write( "Add 7 to each side
\n" ); document.write( "M = 4L-21
\n" ); document.write( "Take that value and substitute it into the first equation
\n" ); document.write( "M + L = 114
\n" ); document.write( "(4L-21)+L = 114
\n" ); document.write( "5L-21 = 114
\n" ); document.write( "Add 21 to each side
\n" ); document.write( "5L = 135
\n" ); document.write( "Divide each side by 5
\n" ); document.write( "L = 27
\n" ); document.write( "If Linda is 27, then Mark is 114-27, or 87.

\n" ); document.write( "Prove it:
\n" ); document.write( "7 years ago, Mark's age was 4 times Linda's age
\n" ); document.write( "7 years ago, Mark would have been 87-7, or 80 years old
\n" ); document.write( "7 years ago, Linda would have been 27-7, or 20 years old
\n" ); document.write( "80 years old is 4 times as old as 20.
\n" ); document.write( "
\n" ); document.write( "
\n" );