document.write( "Question 159384This question is from textbook Prentice Hall Algebra 1
\n" ); document.write( ": thirteen years ago, Mary's age was 5/17 of Grace's age. Two years from now Mary will be 1/2 of Jim's age. Together all their ages add up to 118. Find their ages five years from now. \n" ); document.write( "
Algebra.Com's Answer #117530 by ankor@dixie-net.com(22740)\"\" \"About 
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thirteen years ago, Mary's age was 5/17 of Grace's age. Two years from now Mary will be 1/2 of Jim's age. Together all their ages add up to 118. Find their ages five years from now.
\n" ); document.write( ":
\n" ); document.write( "Let m = Mary's age now
\n" ); document.write( "Let g = Grace's age now
\n" ); document.write( ":
\n" ); document.write( "Write an equation/expression for each statement
\n" ); document.write( ":
\n" ); document.write( "\"thirteen years ago\": that would be:
\n" ); document.write( "(m-13) and (g-13)
\n" ); document.write( ":
\n" ); document.write( "\" Mary's age was 5/17 of Grace's age.\"
\n" ); document.write( "m - 13 = \"5%2F17\"(g-13)
\n" ); document.write( "Multiply equation by 17 to get rid of that annoying denominator, results:
\n" ); document.write( "17(m-13) = 5(g-13)
\n" ); document.write( "17m - 221 = 5g - 65
\n" ); document.write( "or
\n" ); document.write( "5g - 65 = 17m - 221
\n" ); document.write( "5g = 17m - 221 + 65
\n" ); document.write( "5g = 17m - 156
\n" ); document.write( "g = \"%28%2817m-156%29%29%2F5\"
\n" ); document.write( ";
\n" ); document.write( "\" Two years from now Mary will be 1/2 of Jim's age.\"
\n" ); document.write( "Where did Jim come from? Anyway: j = jim's age now:
\n" ); document.write( ":
\n" ); document.write( "(m+2) = .5(j+2)
\n" ); document.write( "or
\n" ); document.write( "j + 2 = 2(m+2)
\n" ); document.write( "j = (2m+4) - 2
\n" ); document.write( "j = 2m + 2\r
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( " Together all their ages add up to 118.
\n" ); document.write( "m + g + j = 118
\n" ); document.write( ":
\n" ); document.write( "Substitute for g and j
\n" ); document.write( "m + \"%28%2817m-156%29%29%2F5\" + (2m+2) = 118
\n" ); document.write( "Multiply equation by 5, results:
\n" ); document.write( "5m + (17m-156) + 5(2m+2) = 5(118)
\n" ); document.write( "5m + 17m - 156 + 10m + 10 = 590
\n" ); document.write( "32m - 146 = 590
\n" ); document.write( "32m = 590 + 146
\n" ); document.write( "32m = 736
\n" ); document.write( "m = \"736%2F32\"
\n" ); document.write( "m = 23 yrs is Mary's present age
\n" ); document.write( "then
\n" ); document.write( "j = 2(23)+ 2)
\n" ); document.write( "j = 46 + 2
\n" ); document.write( "j = 48 yrs is Jim's present age
\n" ); document.write( "and
\n" ); document.write( "g = \"%28%2817%2823%29-156%29%29%2F5\"
\n" ); document.write( "g = \"%28%28391-156%29%29%2F5\"
\n" ); document.write( "g = \"235%2F5\"
\n" ); document.write( "g = 47 yrs is Grace's present age
\n" ); document.write( ":
\n" ); document.write( "Check 23 + 48 + 47 = 118
\n" ); document.write( ":
\n" ); document.write( " Find their ages five years from now. Just add 5 to the above ages:
\n" ); document.write( "Mary 28, Grace 52, Jim 53 \n" ); document.write( "
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