document.write( "Question 118288: Dan is 5 times as old as mike. in 7 years dan will be 2 more than 3 times as old as mike. find their present ages. \n" ); document.write( "
Algebra.Com's Answer #86417 by ankor@dixie-net.com(22740)\"\" \"About 
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Let d = Dan's; present age
\n" ); document.write( "Let m = Mike's present age
\n" ); document.write( ":
\n" ); document.write( "Just write an equation for what it says:
\n" ); document.write( "\"Dan is 5 times as old as mike. \"
\n" ); document.write( "d = 5m
\n" ); document.write( ":
\n" ); document.write( "In 7 years we have:
\n" ); document.write( "(d+7)
\n" ); document.write( "and
\n" ); document.write( "(m+7)
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\n" ); document.write( "\"in 7 years dan will be 2 more than 3 times as old as mike.\"
\n" ); document.write( "d + 7 = 3(m+7) + 2
\n" ); document.write( "d + 7 = 3m + 21 + 2
\n" ); document.write( "d + 7 = 3m + 23
\n" ); document.write( "d = 3m + 23 - 7
\n" ); document.write( "d = 3m + 16
\n" ); document.write( ":
\n" ); document.write( "We know that d = 5m; substitute 5m for d and solve for m
\n" ); document.write( "5m = 3M + 16
\n" ); document.write( "5m - 3m = 16
\n" ); document.write( "2m = 16
\n" ); document.write( "m = 16/2
\n" ); document.write( "m = 8
\n" ); document.write( "therefore
\n" ); document.write( "d = 5(8) = 40
\n" ); document.write( ":
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"in 7 years dan will be 2 more than 3 times as old as mike.\"
\n" ); document.write( "40 + 7 = 3(8+7) + 2
\n" ); document.write( "47 = 3(15) +2; confirms out solution\r
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