document.write( "Question 1015166: if the two digits of a number are multiplied together the result is one third of the number it self what is the number? answer please \n" ); document.write( "

Algebra.Com's Answer #631504 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
T=tens digit; U=units digit
\n" ); document.write( ".
\n" ); document.write( "T*U=(1/3)(10T+U) .
\n" ); document.write( "Multiply each side by 3.
\n" ); document.write( "3TU=10T+U . Subtract 10T from each side.
\n" ); document.write( "3TU-10T=U
\n" ); document.write( "T(3U-10)=U . Divide each side by (3U-10).
\n" ); document.write( "T=U/(3U-10)
\n" ); document.write( ".
\n" ); document.write( "T (tens digit) must an integer from 0 - 9 , so $\"U%2F%283U-10%29\"$
\n" ); document.write( "must be an integer, and U must also be an integer from 0 - 9.
\n" ); document.write( "The only values that satisfy both for U are 4 and 5
\n" ); document.write( ".
\n" ); document.write( "For U=4:
\n" ); document.write( "T= $\"U%2F%283U-10%29=4%2F%283%284%29-10%29\"$ = $\"4%2F%2812-10%29=4%2F2\"$ =2
\n" ); document.write( "ANSWER 1: One answer is 24.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "T*U=(1/3)(10T+U)
\n" ); document.write( "2*4=(1/3)(10(2)+4)
\n" ); document.write( "8=(1/3)(20+4)
\n" ); document.write( "8=(1/3)(24)
\n" ); document.write( "8=8
\n" ); document.write( ".
\n" ); document.write( "For U=5:
\n" ); document.write( "T= $\"U%2F%283U-10%29=5%2F%283%285%29-10%29\"$ = $\"5%2F%2815-10%29=5%2F5\"$ =1
\n" ); document.write( "ANSWER 2: Another answer is 15.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "T*U=(1/3)(10T+U)
\n" ); document.write( "1*5=(1/3)(10(1)+5)
\n" ); document.write( "5=(1/3)(10+5)
\n" ); document.write( "5=(1/3)(15)
\n" ); document.write( "5=5
\n" ); document.write( ".
\n" ); document.write( "ANSWER: The number is 15 or 24 \n" ); document.write( "

\n" );