document.write( "Question 150595: the units digit of a two-digit number is 3 less than its tens digit. if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. find the number. \n" ); document.write( "
Algebra.Com's Answer #110556 by ankor@dixie-net.com(22740)\"\" \"About 
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the units digit of a two-digit number is 3 less than its tens digit. if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. find the number.
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\n" ); document.write( "Let x = the 10's digit
\n" ); document.write( "then
\n" ); document.write( "(x-3) = the units digit
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\n" ); document.write( "The number: 10x + (x-3) which can be written 11x-3
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\n" ); document.write( "Write an equation for the statement:
\n" ); document.write( "\"if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8.\"
\n" ); document.write( "(subtract the remainder to make it come out even)
\n" ); document.write( "\"%28%2811x-3%29-8%29%2F%28%28x+%2B+%28x-3%29%29%29\" = 6
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\n" ); document.write( "\"%28%2811x-11%29%29%2F%28%282x-3%29%29%29\" = 6
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\n" ); document.write( "Multiply both sides by (2x-3)
\n" ); document.write( "11x - 11 = 6(2x-3)
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\n" ); document.write( "11x - 11 = 12x - 18
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\n" ); document.write( "-11 + 18 = 12x - 11x
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\n" ); document.write( "x = 7 is the 10's digit
\n" ); document.write( "then
\n" ); document.write( "7 - 3 = 4 is the units digit
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\n" ); document.write( "Our number is 74
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\n" ); document.write( "Check the solution by dividing it by the sum which is 11
\n" ); document.write( "That gives you 6 with a remainder of 8\r
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