document.write( "Question 840500: the tens digit of a two digit number is half of the units digit. when the digits are reversed the number is increased by 36 find the number \n" ); document.write( "

Algebra.Com's Answer #506322 by LinnW(1048) $\"\"$ $\"About$

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let w = ones digit
\n" ); document.write( " t = the 10's digit
\n" ); document.write( "t = (1/2)w
\n" ); document.write( "wt = tw + 36
\n" ); document.write( "(w*10)+t = (t*10) + w + 36
\n" ); document.write( "Substitute (1/2)w for t in above
\n" ); document.write( "(w*10)+(1/2)w = ((1/2)w*10) + w + 36
\n" ); document.write( "(10 1/2)w = 5w + w + 36
\n" ); document.write( "(10 1/2)w = 6w + 36
\n" ); document.write( "add -6w to each side
\n" ); document.write( "(4 1/2)w = 36
\n" ); document.write( "(9/2)w = 36
\n" ); document.write( "multiply each side by 2/9
\n" ); document.write( "w = (2/9)36
\n" ); document.write( "w = 72/9
\n" ); document.write( "w = 8
\n" ); document.write( "Since t = (1/2)w, t = 4
\n" ); document.write( "Let's check.
\n" ); document.write( "Since our number is tw , the number is 48
\n" ); document.write( "84 = 48 + 36 so we pass the reversed digit check.
\n" ); document.write( " \n" ); document.write( "

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