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# Digit problem and solution? - Brookstone Luggage & Travel

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A number is 3 more than 4 the sum of its digits. If the digits are interchanged, the resulting number is 9 more than the given number. Find the number.

Posted on Jul 25, 2011

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A number is 3 more than 4 times the sum digits. If the digits are interchanged, the resulting number is 9more than the given number. Find the number

Posted on Jul 25, 2011

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Let x= original number 10t + u =3 +4( t + u)10u + t = 9 + 10t + u
10t + u= 3 + 4t + 4u ----------> 10t-4t + u -4u = 3---------->6t -3u =310u- u + t - 10t = 9 ----------> 9u - 9t =9
[6t -3u =3] 3 -----> 18t-9u = 9
+-9t + 9u =9
9t=18t= 2
substituting 2 as tens digit:10(2) + u =3 +4( 2 + u)20 + u = 3 + 8 + 4uu - 4u= 11-20-3u= -9u= 3
the number is 23.

Posted on Dec 11, 2011

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