document.write( "Question 153913: Please help me solve this problems :
\n" ); document.write( "1. On Dave's birthday, his brother Harry is 17 yrs younger than 3 times his age. The boy's father , Tom is 12 yrs. older than twice Harry's age. If Dave is 7 years younger than his brother , how many candles are on Dave's cake?\r
\n" ); document.write( "\n" ); document.write( "2. When Alvin divides each of 5 consecutive integers by his age, the sum of the 5 remainders he gets is 32. When Susan , several yrs. older, divides each of a different set of 5 consecutive integers by her age, the sum of the five remainders she gets is also 32. What is the sum of the ages of Alvin and Susan?
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Algebra.Com's Answer #113319 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"d\"= Dave's age now
\n" ); document.write( "\"h\"= Harry's age now
\n" ); document.write( "\"t\"= Tom's age now
\n" ); document.write( "(1) \"h+=+3d+-+17\"
\n" ); document.write( "(2) \"t+=+2h+%2B+12\"
\n" ); document.write( "(3) \"d+=+h+-+7\"
\n" ); document.write( "--------------------
\n" ); document.write( "Replace \"d\" in (1) with \"d\" in (3)
\n" ); document.write( "(1) \"h+=+3d+-+17\"
\n" ); document.write( "\"h+=+3%2A%28h+-+7%29+-+17\"
\n" ); document.write( "\"h+=+3h+-+21+-+17\"
\n" ); document.write( "Subtract \"3h\" from both sides
\n" ); document.write( "\"-2h+=+-+38\"
\n" ); document.write( "\"h+=+19\"
\n" ); document.write( "-------------------
\n" ); document.write( "(3) \"d+=+h+-+7\"
\n" ); document.write( "\"d+=+19+-+7\"
\n" ); document.write( "\"d+=+12\"
\n" ); document.write( "There are 12 candles on Dave's cake
\n" ); document.write( "Note that I didn't need to know the father's age to solve this
\n" ); document.write( "-------------------
\n" ); document.write( "The 2nd one may be too tough for me
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