document.write( "Question 262168: The tens digit of a two digit number is 3 times greater than the units digit. Eight times the sum of the digits is 1 less than the number. Find the number.\r
\n" ); document.write( "\n" ); document.write( "I've been provided the answer and have ran through numerous equations, but can't seem to get the correct equation that solves for the answer.\r
\n" ); document.write( "\n" ); document.write( "I appreciate any help you can provide...
\n" ); document.write( "

Algebra.Com's Answer #193136 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
let t=ten's digit and u equal units digit.
\n" ); document.write( "t=3u
\n" ); document.write( "8(t+u)=10t+u-1
\n" ); document.write( "8t+8u=10t+u-1
\n" ); document.write( "7u=2t-1
\n" ); document.write( "7u=2*(3u)-1
\n" ); document.write( "7u=6u-1
\n" ); document.write( "u=-1
\n" ); document.write( "t=-3
\n" ); document.write( "the number is -31
\n" ); document.write( "check
\n" ); document.write( "8(-3-1)=-31=1
\n" ); document.write( "8*-4=-32
\n" ); document.write( "-32=-32
\n" ); document.write( "So why are you hiding the answer you were given?\r
\n" ); document.write( "\n" ); document.write( "It turns out that the original problem says three greater and not three times greater
\n" ); document.write( "so picking up the problem\r
\n" ); document.write( "\n" ); document.write( "7u=2t-1
\n" ); document.write( "t=3+u
\n" ); document.write( "7u=2(3+u)-1
\n" ); document.write( "7u=6 +2u-1
\n" ); document.write( "5u=5
\n" ); document.write( "u=1
\n" ); document.write( "t=3+u
\n" ); document.write( "t=3+1
\n" ); document.write( "t=4
\n" ); document.write( "check
\n" ); document.write( "8*(4+1)=41-1
\n" ); document.write( "40=40
\n" ); document.write( "ok
\n" ); document.write( "
\n" ); document.write( "
\n" );