document.write( "Question 131994: The ones digit of a two-digit number is 4 times the tens digit. If the digits are reversed, the new number is 54 more than the original number. Find the number. \n" ); document.write( "
Algebra.Com's Answer #96375 by TakeATuition.com(57)\"\" \"About 
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SOLUTION -
\n" ); document.write( " Let the digit at once place be x
\n" ); document.write( " and the digit at tens place be y
\n" ); document.write( " Number=10y+x
\n" ); document.write( " Reversing number=10x+y
\n" ); document.write( " According to the condition we have
\n" ); document.write( " x=4y .....(i)
\n" ); document.write( " According to the second condition we have
\n" ); document.write( " 10x+y=10y+x+54
\n" ); document.write( " 10x+y-10y-x=54
\n" ); document.write( " 9x-9y=54
\n" ); document.write( " x-y=6 (dividing whole equation by 9)
\n" ); document.write( " substituting the value of x from equation (i) we have
\n" ); document.write( " 4y-y=6
\n" ); document.write( " 3y=6
\n" ); document.write( " \"3y%2F3\"=\"6%2F3\"
\n" ); document.write( " y=2
\n" ); document.write( " substituting the value of y in equation (i) we have
\n" ); document.write( " x=4y
\n" ); document.write( " x=4*2
\n" ); document.write( " x=8
\n" ); document.write( " therefore
\n" ); document.write( " number is 10y+x=10*2+8=28
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\n" ); document.write( "FOR MORE HELP VISIT :www.TakeATuition.com
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