document.write( "Question 873921: A two-digit number is 1 more than eight times the sum of the digits. The ones digit is 3 less than the tens digit. What is the number? \n" ); document.write( "

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A two-digit number is 1 more than eight times the sum of the digits. The ones digit is 3 less than the tens digit. What is the number?
\n" ); document.write( "let unit digit is X and tens digit is Y
\n" ); document.write( "number =10 multiplied by tens digit +unit place by using this formula
\n" ); document.write( "number will be =10 Y + x as per given conditions
\n" ); document.write( "10Y +X = 8(x +Y)+1
\n" ); document.write( "10Y+X=8x+8y+1
\n" ); document.write( "10y+X-8x-8y=1
\n" ); document.write( "2Y -7x=1 (1)
\n" ); document.write( "by second conditions
\n" ); document.write( "X =Y-3
\n" ); document.write( "Y-X = 3 (2) by multiplying 2
\n" ); document.write( "2Y-2X=6 (2)
\n" ); document.write( "2Y-7X =1(1) by subtraction
\n" ); document.write( "5x =5
\n" ); document.write( "X=1
\n" ); document.write( "by substitution X=1 in equation 2
\n" ); document.write( "Y-x =3
\n" ); document.write( "y-1 =3
\n" ); document.write( "Y=3+1 =4
\n" ); document.write( "tens place is 4 and unit place is 1
\n" ); document.write( "number will be 41 \n" ); document.write( "

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