document.write( "Question 892314: the sum of the digits o f a two digit number is 9 . the number is 6 times the units digit find the number... \n" ); document.write( "

Algebra.Com's Answer #540444 by LinnW(1048) $\"\"$ $\"About$

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Set t = the tens digit
\n" ); document.write( " u = the unitis digit
\n" ); document.write( "t + u = 9
\n" ); document.write( "Solve for t by adding -u to each side.
\n" ); document.write( "t = 9 - u
\n" ); document.write( "The value of the number is 10t + u.
\n" ); document.write( "(10t + u) = 6u
\n" ); document.write( "Substitute (9 - u) for t in the above
\n" ); document.write( "10(9 - u) + u = 6u
\n" ); document.write( "90 - 10u + u = 6u
\n" ); document.write( "90 - 9u = 6u
\n" ); document.write( " add 9u to each side
\n" ); document.write( " 90 = 15u
\n" ); document.write( "divide each side by 15
\n" ); document.write( " 6 = u
\n" ); document.write( "since t+u = 9
\n" ); document.write( " t + 6 = 9
\n" ); document.write( "add -6 to each side
\n" ); document.write( " t = 3
\n" ); document.write( "Since t+u = 9, 3+u = 9 and u = 6
\n" ); document.write( "So our number is 36
\n" ); document.write( " \n" ); document.write( "

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