document.write( "Question 1026769: If sum of two digit number be 14.when 29 is subtracted from the number then the digit become same.find the number ..........pls sir elaborate this question with solve \n" ); document.write( "

Algebra.Com's Answer #642068 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let the two digits be a & b
\n" ); document.write( "then
\n" ); document.write( "10a + b = the number
\n" ); document.write( "and
\n" ); document.write( "c = the same digits mentioned in the 2nd statement
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "If sum of two digit number be 14.
\n" ); document.write( "a + b = 14
\n" ); document.write( "b = -a + 14; use this form for substitution
\n" ); document.write( ":
\n" ); document.write( " when 29 is subtracted from the number then the digit become same.
\n" ); document.write( "10a + b - 29 = 10c + c
\n" ); document.write( "10a + b = 11c + 29
\n" ); document.write( "Replace b with (-a+14)
\n" ); document.write( "10a - a + 14 = 11c + 29
\n" ); document.write( "9a = 11c + 29 - 14
\n" ); document.write( "9a = 11c + 15
\n" ); document.write( "a = $\"%2811c%2B15%29%2F9\"$
\n" ); document.write( "If we examine this equation we can see there is only one single integer solution
\n" ); document.write( "c = 6, then a = 9
\n" ); document.write( "therefore
\n" ); document.write( " b = -9 + 14
\n" ); document.write( " b = 5
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\n" ); document.write( "Find the number 95
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\n" ); document.write( "See if that checks out in the 2nd statement
\n" ); document.write( " \"when 29 is subtracted from the number then the digits become same.\"
\n" ); document.write( "95 - 29 = 66
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