document.write( "Question 1017811: The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original number. \n" ); document.write( "

Algebra.Com's Answer #634023 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original number.
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Let tens and units digits, be T and U, respectively
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document.write( "Then original number is: 10T + U, and reversed number is: 10U + T
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document.write( "Then: U = 4T + 1 -------- eq (i)
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document.write( "Also, 10U + T = 10T + U + 63_____10U - U + T - 10T = 63____9U - 9T = 63_____9(U - T) = 9(7)______U - T = 7 ------- eq (ii)\r
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document.write( "Then:  Substitute 4T + 1 for U in eq (ii)
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document.write( "       Determine the value for T, the tens digit
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document.write( "       Substitute value for T into any of the 2 equations to get the value of U \n" );
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