document.write( "Question 705286: Dave is 4 years older than Billy. Billy is 3 times older than Jon. All three of their ages combined is 39. What is the age of each child?\r
\n" ); document.write( "\n" ); document.write( "I started the problem by trying to figure out Jon's age. I came up with the answer of 7. That does not add up correctly. It looks the answer should be 5. I need the steps to get to 5. Trying to help my son with this problem last night and I am stumped.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #434494 by Stitch(470)\"\" \"About 
You can put this solution on YOUR website!
Let B = Billy's Age
\n" ); document.write( "Let D = Dave's Age
\n" ); document.write( "Let J = Jon's Age
\n" ); document.write( "Equation 1: \"D+=+B+%2B+4\"
\n" ); document.write( "Equation 2: \"B+=+3J\"
\n" ); document.write( "Equation 3: \"B+%2B+D+%2B+J+=+39\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Rewrite equation 2 so that it is solved for J
\n" ); document.write( "\"B%2F3+=+J\"
\n" ); document.write( "Now both equation 1 and equation 2 are in terms of B
\n" ); document.write( "Substitue those values into equation 3 for the same letter.
\n" ); document.write( "Equation 3: \"B+%2B+D+%2B+J+=+39\"
\n" ); document.write( "\"B+%2B+%28B+%2B+4%29+%2B+%28B%2F3%29+=+39\"
\n" ); document.write( "Multiply everything by 3 to remove the denominator
\n" ); document.write( "\"3B+%2B+3B+%2B+12+%2B+B+=+117\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"7B+%2B+12+=+117\"
\n" ); document.write( "Subtract 12 from both sides
\n" ); document.write( "\"7B+=+105\"
\n" ); document.write( "Divide both sides by 7
\n" ); document.write( "\"highlight%28B+=+15%29\"
\n" ); document.write( "Now plug 15 into the equations 1 and 2 for B.
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Equation 1: \"D+=+B+%2B+4\"
\n" ); document.write( "\"D+=+%2815%29+%2B+4\"
\n" ); document.write( "\"highlight_green+%28D+=+19%29\"
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "\"B%2F3+=+J\"
\n" ); document.write( "\"%2815%29%2F3+=+J\"
\n" ); document.write( "\"highlight%285+=+J%29\"
\n" ); document.write( "
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