document.write( "Question 824483: tommy: how old are you momma?
\n" ); document.write( "momma? your age my age and your fathers age equal 70.
\n" ); document.write( "tommy: how old are you papa?
\n" ); document.write( "papa: just six times as old as you papa
\n" ); document.write( "tommy: will i ever be half your age?
\n" ); document.write( "papa: that should happen when our three ages equal twice as much as it does today.\r
\n" ); document.write( "\n" ); document.write( "how old is papa momma and tommy?
\n" ); document.write( "

Algebra.Com's Answer #496536 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+m+\" = momma's age now
\n" ); document.write( "Let \"+p+\" = papa's age now
\n" ); document.write( "Let \"+t+\" = Tommy's age now
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+t+%2B+m+%2B+p+=+70+\"
\n" ); document.write( "(2) \"+p+=+6t+\"
\n" ); document.write( "---------------
\n" ); document.write( "Let \"+n+\" = the number of years
\n" ); document.write( "from now when the sum of their
\n" ); document.write( "ages will add up to \"+2%2A70+=+140+\"
\n" ); document.write( "(3) \"+t+%2B+n+%2B+m+%2B+n+%2B+p+%2B+n+=+140+\"
\n" ); document.write( "(3) \"+t+%2B+m+%2B+p+%2B+3n+=+140+\"
\n" ); document.write( "Substitute (1) into (3)
\n" ); document.write( "(3) \"+70+%2B+3n+=+140+\"
\n" ); document.write( "(3) \"+3n+=+70+\"
\n" ); document.write( "(3) \"+n+=+70%2F3+\"
\n" ); document.write( "------------------
\n" ); document.write( "(4) \"+t+%2B+70%2F3+=+%281%2F2%29%2A%28+p+%2B+70%2F3+%29+\"
\n" ); document.write( "(4) \"+2t+%2B+140%2F3+=+p+%2B+70%2F3+\"
\n" ); document.write( "(4) \"+6t+%2B+140+=+3p+%2B+70+\"
\n" ); document.write( "(4) \"+3p+=+6t+%2B+70+\"
\n" ); document.write( "Substitute (2) into (4)
\n" ); document.write( "(4) \"+3%2A%286t%29+=+6t+%2B+70+\"
\n" ); document.write( "(4) \"+18t+=+6t+%2B+70+\"
\n" ); document.write( "(4) \"+12t+=+70+\"
\n" ); document.write( "(4) \"+t+=+5+%2B+10%2F12+\"
\n" ); document.write( "Tommy is 5 yrs and 10 months
\n" ); document.write( "(2) \"+p+=+6t+\"
\n" ); document.write( "(2) \"+p+=+6%2A%2870%2F12%29+\"
\n" ); document.write( "(2) \"+p+=+35+\"
\n" ); document.write( "Papa is 35
\n" ); document.write( "(1) \"+t+%2B+m+%2B+p+=+70+\"
\n" ); document.write( "(1) \"+5+%2B+10%2F12+%2B+35+%2B+m+=+70+\"
\n" ); document.write( "(1) \"+m+=+70+-+40+-+10%2F12+\"
\n" ); document.write( "(1) \"+m+=+30+-+10%2F12+\"
\n" ); document.write( "(1) \"+m+=+29+%2B+2%2F12+\"
\n" ); document.write( "Momma is 29 and 2 months
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+6%2A%28+5+%2B+10%2F12+%29+=+30+%2B+5+\"
\n" ); document.write( "(2) \"+30+%2B+5+=+35+\"
\n" ); document.write( "(2) \"+35+=+35+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+n+=+70%2F3+\"
\n" ); document.write( "\"+n+=+23+%2B+4%2F12+\"
\n" ); document.write( "(3) \"+t+%2B+m+%2B+p+%2B+3n+=+140+\"
\n" ); document.write( "(3) \"+5+%2B+10%2F12+%2B+29+%2B+2%2F12+%2B+35+%2B+3%2A%28+23+%2B+4%2F12+%29+=+140+\"
\n" ); document.write( "(3) \"+69+%2B+1+%2B+69+%2B+1+=+140+\"
\n" ); document.write( "(3) \"+138+%2B+2+=+140+\"
\n" ); document.write( "(3) \"+140+=+140+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(4) \"+t+%2B+70%2F3+=+%281%2F2%29%2A%28+p+%2B+70%2F3+%29+\"
\n" ); document.write( "(4) \"+5+%2B+10%2F12+%2B+23+%2B+4%2F12+=+%281%2F2%29%2A%28+35+%2B+23+%2B+4%2F12+%29+\"
\n" ); document.write( "(4) \"+29+%2B+2%2F12+=+%281%2F2%29%2A%28+58+%2B+4%2F12+%29+\"
\n" ); document.write( "(4) \"+58+%2B+4%2F12+=+58+%2B+4%2F12+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(1) \"+t+%2B+m+%2B+p+=+70+\"
\n" ); document.write( "(1) \"+5+%2B+10%2F12+%2B+29+%2B+2%2F12+%2B+35+=+70+\"
\n" ); document.write( "(1) \"+34+%2B+1+%2B+35+=+70+\"
\n" ); document.write( "(1) \"+70+=+70+\"
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it\r
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