document.write( "Question 830654: loren is 3/4 as old as Ping .four years ago, she was 4 years more than 1/2 as old as Ping. How old is each? \n" ); document.write( "
Algebra.Com's Answer #500764 by JulietG(1812)\"\" \"About 
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Let L = Loren's age and P = Ping's age
\n" ); document.write( "We're told the following:
\n" ); document.write( "L = 3/4P
\n" ); document.write( "L-4 = 1/2(P+4)
\n" ); document.write( ".
\n" ); document.write( "Substitute the value for L
\n" ); document.write( "(3/4P)-4 = 1/2(P+4)
\n" ); document.write( "Distribute
\n" ); document.write( "3/4P - 4 = 1/2P + 2
\n" ); document.write( "Add 4 to each side
\n" ); document.write( "3/4P = 1/2P + 6
\n" ); document.write( "Subtract 1/2P (same as 2/4P) from each side
\n" ); document.write( "1/4P = 6
\n" ); document.write( "Multiply each side by 4
\n" ); document.write( "P = 6*4
\n" ); document.write( "P = 24
\n" ); document.write( "If Ping is 24 and Loren is 3/4 his age, then Loren is 18.<<--
\n" ); document.write( ".
\n" ); document.write( "Let's put the ages into the original problem to see if they work.
\n" ); document.write( "\"four years ago, she was 4 years more than 1/2 as old as Ping. \"
\n" ); document.write( "Using the values we found, 4 years ago, Loren would have been 14.
\n" ); document.write( "Is that 4 years more than 1/2 of Ping's age? If he is 24 now, 4 years ago he would have been 20. 1/2 of that is 10. 4+10 is indeed 14. \n" ); document.write( "
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