document.write( "Question 778258: Please Help me to answer this...\r
\n" ); document.write( "\n" ); document.write( "The tens digit of a 2-digit number is 3 more than the ones digit. the number is equal to 7 times the sum of the digits. find the number.
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Algebra.Com's Answer #474522 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Please Help me to answer this...\r
\n" ); document.write( "\n" ); document.write( "The tens digit of a 2-digit number is 3 more than the ones digit. the number is equal to 7 times the sum of the digits. find the number.\r
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\n" ); document.write( "\n" ); document.write( "Let the tens and units digits be T and U, respectively
\n" ); document.write( "Then: T = U + 3 ----- eq (i)\r
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\n" ); document.write( "\n" ); document.write( "10T + U = 7(T + U) ------ 10T + U = 7T + 7U ------ 10T – 7T + U – 7U = 0 ---- 3T – 6U = 0 ---- 3(T – 2U) = 3(0)
\n" ); document.write( "T – 2U = 0 ------ eq (ii)
\n" ); document.write( "U + 3 – 2U = 0 --------- Substituting U + 3 for T in eq (ii)
\n" ); document.write( "U – 2U = - 3
\n" ); document.write( "- U = - 3\r
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\n" ); document.write( "\n" ); document.write( "U, or units digit = \"%28-+3%29%2F-+1\", or 3\r
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\n" ); document.write( "\n" ); document.write( "T – 2(3) = 0 ---- Substituting 3 for U in eq (ii)
\n" ); document.write( "T – 6 = 0\r
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\n" ); document.write( "\n" ); document.write( "T, or tens digit = 6\r
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\n" ); document.write( "\n" ); document.write( "Number is: \"highlight_green%2863%29\"\r
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\n" ); document.write( "\n" ); document.write( "You can do the check!! \r
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\n" ); document.write( "\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com
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