document.write( "Question 172001: a no. has two digits whose sum is 14. if 36 is added to the no., its digit are interchanged . find the no. \n" ); document.write( "

Algebra.Com's Answer #127094 by ptaylor(2198) $\"\"$ $\"About$

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Let x=the tens digit
\n" ); document.write( "And let y=the units digit
\n" ); document.write( "The number then would be (10x+y)\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "x+y=14------------------------eq1
\n" ); document.write( "and
\n" ); document.write( "(10x+y)+36=10y+x subtract 10x and also y from each side
\n" ); document.write( "10x+y-10x-y+36=10y-y+x-10x collect like terms
\n" ); document.write( "36=9y-9x or
\n" ); document.write( "-9x+9y=36------------------eq2
\n" ); document.write( "multiply eq1 by 9(we get 9x+9y=126) and then add it to eq2:
\n" ); document.write( "18y=162 divide each side by 18
\n" ); document.write( "y=9-------------------------------the units digit\r
\n" ); document.write( "\n" ); document.write( "substitute y=9 into eq1:
\n" ); document.write( "x+9=14 subtract 9 from each side
\n" ); document.write( "x=14-9
\n" ); document.write( "x=5--------------------the tens digit\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "5+9=14
\n" ); document.write( "14=14
\n" ); document.write( "and
\n" ); document.write( "59+36=95
\n" ); document.write( "95=95\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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